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Finding the Fourth Proportional to 1,337.29, 2,006.28 and 557.03

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Solution

The fourth proportional to 1,337.29, 2,006.28 and 557.03 is: 835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.29 : 2,006.28 = 557.03 : x
  2. Step 2: Convert to fraction form
    1,337.29/2,006.28 = 557.03/x
  3. Step 3: Cross multiply
    1,337.29x = 2,006.28 × 557.03
  4. Step 4: Simplify right side
    1,337.29x = 1,117,562.12
  5. Step 5: Solve for x
    x = 1,117,562.12/1,337.29
  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.