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Finding the Fourth Proportional to 1,061.28, 1,462.88 and 836.85

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Solution

The fourth proportional to 1,061.28, 1,462.88 and 836.85 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.28 : 1,462.88 = 836.85 : x
  2. Step 2: Convert to fraction form
    1,061.28/1,462.88 = 836.85/x
  3. Step 3: Cross multiply
    1,061.28x = 1,462.88 × 836.85
  4. Step 4: Simplify right side
    1,061.28x = 1,224,211.13
  5. Step 5: Solve for x
    x = 1,224,211.13/1,061.28
  6. Step 6: Final answer
    x = 1,153.52

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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.