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Finding the Fourth Proportional to 1,014.31, 1,521.48 and 283.90

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Solution

The fourth proportional to 1,014.31, 1,521.48 and 283.90 is: 425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.31 : 1,521.48 = 283.90 : x
  2. Step 2: Convert to fraction form
    1,014.31/1,521.48 = 283.90/x
  3. Step 3: Cross multiply
    1,014.31x = 1,521.48 × 283.90
  4. Step 4: Simplify right side
    1,014.31x = 431,948.17
  5. Step 5: Solve for x
    x = 431,948.17/1,014.31
  6. Step 6: Final answer
    x = 425.85

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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.