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Finding the Fourth Proportional to 917.26, 1,265.81 and 497.60

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Solution

The fourth proportional to 917.26, 1,265.81 and 497.60 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,265.81 = 497.60 : x
  2. Step 2: Convert to fraction form
    917.26/1,265.81 = 497.60/x
  3. Step 3: Cross multiply
    917.26x = 1,265.81 × 497.60
  4. Step 4: Simplify right side
    917.26x = 629,870.11
  5. Step 5: Solve for x
    x = 629,870.11/917.26
  6. Step 6: Final answer
    x = 686.69

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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.