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Finding the Fourth Proportional to 766.29, 1,152.21 and 706.16

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Solution

The fourth proportional to 766.29, 1,152.21 and 706.16 is: 1,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.29 : 1,152.21 = 706.16 : x
  2. Step 2: Convert to fraction form
    766.29/1,152.21 = 706.16/x
  3. Step 3: Cross multiply
    766.29x = 1,152.21 × 706.16
  4. Step 4: Simplify right side
    766.29x = 813,638.85
  5. Step 5: Solve for x
    x = 813,638.85/766.29
  6. Step 6: Final answer
    x = 1,061.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.