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Finding the Fourth Proportional to 917.23, 1,265.77 and 497.58

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Solution

The fourth proportional to 917.23, 1,265.77 and 497.58 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.23 : 1,265.77 = 497.58 : x
  2. Step 2: Convert to fraction form
    917.23/1,265.77 = 497.58/x
  3. Step 3: Cross multiply
    917.23x = 1,265.77 × 497.58
  4. Step 4: Simplify right side
    917.23x = 629,821.84
  5. Step 5: Solve for x
    x = 629,821.84/917.23
  6. Step 6: Final answer
    x = 686.66

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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.