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Finding the Fourth Proportional to 1,147.47, 1,562.33 and 1,143.83

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Solution

The fourth proportional to 1,147.47, 1,562.33 and 1,143.83 is: 1,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.47 : 1,562.33 = 1,143.83 : x
  2. Step 2: Convert to fraction form
    1,147.47/1,562.33 = 1,143.83/x
  3. Step 3: Cross multiply
    1,147.47x = 1,562.33 × 1,143.83
  4. Step 4: Simplify right side
    1,147.47x = 1,787,026.39
  5. Step 5: Solve for x
    x = 1,787,026.39/1,147.47
  6. Step 6: Final answer
    x = 1,557.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.