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Finding the Fourth Proportional to 917.10, 1,265.60 and 497.47

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Solution

The fourth proportional to 917.10, 1,265.60 and 497.47 is: 686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,265.60 = 497.47 : x
  2. Step 2: Convert to fraction form
    917.10/1,265.60 = 497.47/x
  3. Step 3: Cross multiply
    917.10x = 1,265.60 × 497.47
  4. Step 4: Simplify right side
    917.10x = 629,589.22
  5. Step 5: Solve for x
    x = 629,589.22/917.10
  6. Step 6: Final answer
    x = 686.50

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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.