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Finding the Fourth Proportional to 1,013.31, 1,519.98 and 282.90

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Solution

The fourth proportional to 1,013.31, 1,519.98 and 282.90 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.31 : 1,519.98 = 282.90 : x
  2. Step 2: Convert to fraction form
    1,013.31/1,519.98 = 282.90/x
  3. Step 3: Cross multiply
    1,013.31x = 1,519.98 × 282.90
  4. Step 4: Simplify right side
    1,013.31x = 430,002.34
  5. Step 5: Solve for x
    x = 430,002.34/1,013.31
  6. Step 6: Final answer
    x = 424.35

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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.