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Finding the Fourth Proportional to 1,142.10, 1,713.12 and 594

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Solution

The fourth proportional to 1,142.10, 1,713.12 and 594 is: 890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,713.12 = 594 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,713.12 = 594/x
  3. Step 3: Cross multiply
    1,142.10x = 1,713.12 × 594
  4. Step 4: Simplify right side
    1,142.10x = 1,017,593.28
  5. Step 5: Solve for x
    x = 1,017,593.28/1,142.10
  6. Step 6: Final answer
    x = 890.98

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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.