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Finding the Fourth Proportional to 917.14, 1,265.65 and 497.48

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Solution

The fourth proportional to 917.14, 1,265.65 and 497.48 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.14 : 1,265.65 = 497.48 : x
  2. Step 2: Convert to fraction form
    917.14/1,265.65 = 497.48/x
  3. Step 3: Cross multiply
    917.14x = 1,265.65 × 497.48
  4. Step 4: Simplify right side
    917.14x = 629,637.48
  5. Step 5: Solve for x
    x = 629,637.48/917.14
  6. Step 6: Final answer
    x = 686.53

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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.