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Finding the Fourth Proportional to 873.97, 1,311.14 and 435.46

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Solution

The fourth proportional to 873.97, 1,311.14 and 435.46 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.97 : 1,311.14 = 435.46 : x
  2. Step 2: Convert to fraction form
    873.97/1,311.14 = 435.46/x
  3. Step 3: Cross multiply
    873.97x = 1,311.14 × 435.46
  4. Step 4: Simplify right side
    873.97x = 570,949.02
  5. Step 5: Solve for x
    x = 570,949.02/873.97
  6. Step 6: Final answer
    x = 653.28

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Double scale
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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.