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Finding the Fourth Proportional to 1,142.10, 1,712.57 and 594.12

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Solution

The fourth proportional to 1,142.10, 1,712.57 and 594.12 is: 890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,712.57 = 594.12 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,712.57 = 594.12/x
  3. Step 3: Cross multiply
    1,142.10x = 1,712.57 × 594.12
  4. Step 4: Simplify right side
    1,142.10x = 1,017,472.09
  5. Step 5: Solve for x
    x = 1,017,472.09/1,142.10
  6. Step 6: Final answer
    x = 890.88

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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.