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Finding the Fourth Proportional to 1,149.18, 1,585.50 and 706.62

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Solution

The fourth proportional to 1,149.18, 1,585.50 and 706.62 is: 974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.18 : 1,585.50 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,149.18/1,585.50 = 706.62/x
  3. Step 3: Cross multiply
    1,149.18x = 1,585.50 × 706.62
  4. Step 4: Simplify right side
    1,149.18x = 1,120,346.01
  5. Step 5: Solve for x
    x = 1,120,346.01/1,149.18
  6. Step 6: Final answer
    x = 974.91

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Why These Related Problems?

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