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Finding the Fourth Proportional to 773.52, 1,065.88 and 735.86

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Solution

The fourth proportional to 773.52, 1,065.88 and 735.86 is: 1,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,065.88 = 735.86 : x
  2. Step 2: Convert to fraction form
    773.52/1,065.88 = 735.86/x
  3. Step 3: Cross multiply
    773.52x = 1,065.88 × 735.86
  4. Step 4: Simplify right side
    773.52x = 784,338.46
  5. Step 5: Solve for x
    x = 784,338.46/773.52
  6. Step 6: Final answer
    x = 1,013.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.