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Finding the Fourth Proportional to 873.76, 1,204.59 and 637.24

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Solution

The fourth proportional to 873.76, 1,204.59 and 637.24 is: 878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.76 : 1,204.59 = 637.24 : x
  2. Step 2: Convert to fraction form
    873.76/1,204.59 = 637.24/x
  3. Step 3: Cross multiply
    873.76x = 1,204.59 × 637.24
  4. Step 4: Simplify right side
    873.76x = 767,612.93
  5. Step 5: Solve for x
    x = 767,612.93/873.76
  6. Step 6: Final answer
    x = 878.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.