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Finding the Fourth Proportional to 1,182.12, 1,772.85 and 706.89

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Solution

The fourth proportional to 1,182.12, 1,772.85 and 706.89 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.12 : 1,772.85 = 706.89 : x
  2. Step 2: Convert to fraction form
    1,182.12/1,772.85 = 706.89/x
  3. Step 3: Cross multiply
    1,182.12x = 1,772.85 × 706.89
  4. Step 4: Simplify right side
    1,182.12x = 1,253,209.94
  5. Step 5: Solve for x
    x = 1,253,209.94/1,182.12
  6. Step 6: Final answer
    x = 1,060.14

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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.