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Finding the Fourth Proportional to 917.42, 1,265.99 and 497.76

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Solution

The fourth proportional to 917.42, 1,265.99 and 497.76 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,265.99 = 497.76 : x
  2. Step 2: Convert to fraction form
    917.42/1,265.99 = 497.76/x
  3. Step 3: Cross multiply
    917.42x = 1,265.99 × 497.76
  4. Step 4: Simplify right side
    917.42x = 630,160.32
  5. Step 5: Solve for x
    x = 630,160.32/917.42
  6. Step 6: Final answer
    x = 686.88

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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.