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Finding the Fourth Proportional to 1,061.20, 1,463.91 and 687.70

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Solution

The fourth proportional to 1,061.20, 1,463.91 and 687.70 is: 948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.20 : 1,463.91 = 687.70 : x
  2. Step 2: Convert to fraction form
    1,061.20/1,463.91 = 687.70/x
  3. Step 3: Cross multiply
    1,061.20x = 1,463.91 × 687.70
  4. Step 4: Simplify right side
    1,061.20x = 1,006,730.91
  5. Step 5: Solve for x
    x = 1,006,730.91/1,061.20
  6. Step 6: Final answer
    x = 948.67

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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.