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Finding the Fourth Proportional to 1,355.26, 2,031.69 and 534.12

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Solution

The fourth proportional to 1,355.26, 2,031.69 and 534.12 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.26 : 2,031.69 = 534.12 : x
  2. Step 2: Convert to fraction form
    1,355.26/2,031.69 = 534.12/x
  3. Step 3: Cross multiply
    1,355.26x = 2,031.69 × 534.12
  4. Step 4: Simplify right side
    1,355.26x = 1,085,166.26
  5. Step 5: Solve for x
    x = 1,085,166.26/1,355.26
  6. Step 6: Final answer
    x = 800.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.