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Finding the Fourth Proportional to 1,009.40, 1,513.58 and 489.42

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Solution

The fourth proportional to 1,009.40, 1,513.58 and 489.42 is: 733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.40 : 1,513.58 = 489.42 : x
  2. Step 2: Convert to fraction form
    1,009.40/1,513.58 = 489.42/x
  3. Step 3: Cross multiply
    1,009.40x = 1,513.58 × 489.42
  4. Step 4: Simplify right side
    1,009.40x = 740,773.88
  5. Step 5: Solve for x
    x = 740,773.88/1,009.40
  6. Step 6: Final answer
    x = 733.88

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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.