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Finding the Fourth Proportional to 1,157.40, 1,732.68 and 766.65

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Solution

The fourth proportional to 1,157.40, 1,732.68 and 766.65 is: 1,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.40 : 1,732.68 = 766.65 : x
  2. Step 2: Convert to fraction form
    1,157.40/1,732.68 = 766.65/x
  3. Step 3: Cross multiply
    1,157.40x = 1,732.68 × 766.65
  4. Step 4: Simplify right side
    1,157.40x = 1,328,359.12
  5. Step 5: Solve for x
    x = 1,328,359.12/1,157.40
  6. Step 6: Final answer
    x = 1,147.71

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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.