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Finding the Fourth Proportional to 917.16, 1,265.67 and 497.51

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Solution

The fourth proportional to 917.16, 1,265.67 and 497.51 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,265.67 = 497.51 : x
  2. Step 2: Convert to fraction form
    917.16/1,265.67 = 497.51/x
  3. Step 3: Cross multiply
    917.16x = 1,265.67 × 497.51
  4. Step 4: Simplify right side
    917.16x = 629,683.48
  5. Step 5: Solve for x
    x = 629,683.48/917.16
  6. Step 6: Final answer
    x = 686.56

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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.