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Finding the Fourth Proportional to 1,014.31, 1,520.38 and 429.18

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Solution

The fourth proportional to 1,014.31, 1,520.38 and 429.18 is: 643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.31 : 1,520.38 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,014.31/1,520.38 = 429.18/x
  3. Step 3: Cross multiply
    1,014.31x = 1,520.38 × 429.18
  4. Step 4: Simplify right side
    1,014.31x = 652,511.81
  5. Step 5: Solve for x
    x = 652,511.81/1,014.31
  6. Step 6: Final answer
    x = 643.30

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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.