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Finding the Fourth Proportional to 1,141.97, 1,713.62 and 594.14

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Solution

The fourth proportional to 1,141.97, 1,713.62 and 594.14 is: 891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.97 : 1,713.62 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,141.97/1,713.62 = 594.14/x
  3. Step 3: Cross multiply
    1,141.97x = 1,713.62 × 594.14
  4. Step 4: Simplify right side
    1,141.97x = 1,018,123.10
  5. Step 5: Solve for x
    x = 1,018,123.10/1,141.97
  6. Step 6: Final answer
    x = 891.55

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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.