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Finding the Fourth Proportional to 1,142.26, 1,713.80 and 594.70

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Solution

The fourth proportional to 1,142.26, 1,713.80 and 594.70 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.26 : 1,713.80 = 594.70 : x
  2. Step 2: Convert to fraction form
    1,142.26/1,713.80 = 594.70/x
  3. Step 3: Cross multiply
    1,142.26x = 1,713.80 × 594.70
  4. Step 4: Simplify right side
    1,142.26x = 1,019,196.86
  5. Step 5: Solve for x
    x = 1,019,196.86/1,142.26
  6. Step 6: Final answer
    x = 892.26

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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.