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Finding the Fourth Proportional to 917.29, 1,265.82 and 497.63

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Solution

The fourth proportional to 917.29, 1,265.82 and 497.63 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.29 : 1,265.82 = 497.63 : x
  2. Step 2: Convert to fraction form
    917.29/1,265.82 = 497.63/x
  3. Step 3: Cross multiply
    917.29x = 1,265.82 × 497.63
  4. Step 4: Simplify right side
    917.29x = 629,910.01
  5. Step 5: Solve for x
    x = 629,910.01/917.29
  6. Step 6: Final answer
    x = 686.71

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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.