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Finding the Fourth Proportional to 917.56, 1,265.02 and 759.61

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Solution

The fourth proportional to 917.56, 1,265.02 and 759.61 is: 1,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.56 : 1,265.02 = 759.61 : x
  2. Step 2: Convert to fraction form
    917.56/1,265.02 = 759.61/x
  3. Step 3: Cross multiply
    917.56x = 1,265.02 × 759.61
  4. Step 4: Simplify right side
    917.56x = 960,921.84
  5. Step 5: Solve for x
    x = 960,921.84/917.56
  6. Step 6: Final answer
    x = 1,047.26

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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.