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Finding the Fourth Proportional to 1,014.31, 1,521.51 and 283.96

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Solution

The fourth proportional to 1,014.31, 1,521.51 and 283.96 is: 425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.31 : 1,521.51 = 283.96 : x
  2. Step 2: Convert to fraction form
    1,014.31/1,521.51 = 283.96/x
  3. Step 3: Cross multiply
    1,014.31x = 1,521.51 × 283.96
  4. Step 4: Simplify right side
    1,014.31x = 432,047.98
  5. Step 5: Solve for x
    x = 432,047.98/1,014.31
  6. Step 6: Final answer
    x = 425.95

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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.