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Finding the Fourth Proportional to 873.66, 1,310.34 and 325.70

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Solution

The fourth proportional to 873.66, 1,310.34 and 325.70 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.66 : 1,310.34 = 325.70 : x
  2. Step 2: Convert to fraction form
    873.66/1,310.34 = 325.70/x
  3. Step 3: Cross multiply
    873.66x = 1,310.34 × 325.70
  4. Step 4: Simplify right side
    873.66x = 426,771.19
  5. Step 5: Solve for x
    x = 426,771.19/873.66
  6. Step 6: Final answer
    x = 488.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.