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Finding the Fourth Proportional to 917.01, 1,265.13 and 563.04

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Solution

The fourth proportional to 917.01, 1,265.13 and 563.04 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.01 : 1,265.13 = 563.04 : x
  2. Step 2: Convert to fraction form
    917.01/1,265.13 = 563.04/x
  3. Step 3: Cross multiply
    917.01x = 1,265.13 × 563.04
  4. Step 4: Simplify right side
    917.01x = 712,318.80
  5. Step 5: Solve for x
    x = 712,318.80/917.01
  6. Step 6: Final answer
    x = 776.78

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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.