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Finding the Fourth Proportional to 1,332.62, 1,839.00 and 743.16

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Solution

The fourth proportional to 1,332.62, 1,839.00 and 743.16 is: 1,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.62 : 1,839.00 = 743.16 : x
  2. Step 2: Convert to fraction form
    1,332.62/1,839.00 = 743.16/x
  3. Step 3: Cross multiply
    1,332.62x = 1,839.00 × 743.16
  4. Step 4: Simplify right side
    1,332.62x = 1,366,670.58
  5. Step 5: Solve for x
    x = 1,366,670.58/1,332.62
  6. Step 6: Final answer
    x = 1,025.55

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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.