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Finding the Fourth Proportional to 1,040.51, 1,560.42 and 424.73

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Solution

The fourth proportional to 1,040.51, 1,560.42 and 424.73 is: 636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.51 : 1,560.42 = 424.73 : x
  2. Step 2: Convert to fraction form
    1,040.51/1,560.42 = 424.73/x
  3. Step 3: Cross multiply
    1,040.51x = 1,560.42 × 424.73
  4. Step 4: Simplify right side
    1,040.51x = 662,757.19
  5. Step 5: Solve for x
    x = 662,757.19/1,040.51
  6. Step 6: Final answer
    x = 636.95

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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.