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Finding the Fourth Proportional to 1,143.20, 1,713.56 and 557.53

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Solution

The fourth proportional to 1,143.20, 1,713.56 and 557.53 is: 835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.20 : 1,713.56 = 557.53 : x
  2. Step 2: Convert to fraction form
    1,143.20/1,713.56 = 557.53/x
  3. Step 3: Cross multiply
    1,143.20x = 1,713.56 × 557.53
  4. Step 4: Simplify right side
    1,143.20x = 955,358.32
  5. Step 5: Solve for x
    x = 955,358.32/1,143.20
  6. Step 6: Final answer
    x = 835.69

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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.