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Finding the Fourth Proportional to 1,141.92, 1,713.30 and 593.76

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Solution

The fourth proportional to 1,141.92, 1,713.30 and 593.76 is: 890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.92 : 1,713.30 = 593.76 : x
  2. Step 2: Convert to fraction form
    1,141.92/1,713.30 = 593.76/x
  3. Step 3: Cross multiply
    1,141.92x = 1,713.30 × 593.76
  4. Step 4: Simplify right side
    1,141.92x = 1,017,289.01
  5. Step 5: Solve for x
    x = 1,017,289.01/1,141.92
  6. Step 6: Final answer
    x = 890.86

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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.