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Finding the Fourth Proportional to 917.10, 1,265.25 and 637.02

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Solution

The fourth proportional to 917.10, 1,265.25 and 637.02 is: 878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,265.25 = 637.02 : x
  2. Step 2: Convert to fraction form
    917.10/1,265.25 = 637.02/x
  3. Step 3: Cross multiply
    917.10x = 1,265.25 × 637.02
  4. Step 4: Simplify right side
    917.10x = 805,989.56
  5. Step 5: Solve for x
    x = 805,989.56/917.10
  6. Step 6: Final answer
    x = 878.85

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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.