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Finding the Fourth Proportional to 1,142.73, 1,713.24 and 594.57

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Solution

The fourth proportional to 1,142.73, 1,713.24 and 594.57 is: 891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.73 : 1,713.24 = 594.57 : x
  2. Step 2: Convert to fraction form
    1,142.73/1,713.24 = 594.57/x
  3. Step 3: Cross multiply
    1,142.73x = 1,713.24 × 594.57
  4. Step 4: Simplify right side
    1,142.73x = 1,018,641.11
  5. Step 5: Solve for x
    x = 1,018,641.11/1,142.73
  6. Step 6: Final answer
    x = 891.41

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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.