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Finding the Fourth Proportional to 1,040.13, 1,560.30 and 492.18

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Solution

The fourth proportional to 1,040.13, 1,560.30 and 492.18 is: 738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.13 : 1,560.30 = 492.18 : x
  2. Step 2: Convert to fraction form
    1,040.13/1,560.30 = 492.18/x
  3. Step 3: Cross multiply
    1,040.13x = 1,560.30 × 492.18
  4. Step 4: Simplify right side
    1,040.13x = 767,948.45
  5. Step 5: Solve for x
    x = 767,948.45/1,040.13
  6. Step 6: Final answer
    x = 738.32

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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.