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Finding the Fourth Proportional to 1,040.98, 1,561.36 and 424.73

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Solution

The fourth proportional to 1,040.98, 1,561.36 and 424.73 is: 637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.98 : 1,561.36 = 424.73 : x
  2. Step 2: Convert to fraction form
    1,040.98/1,561.36 = 424.73/x
  3. Step 3: Cross multiply
    1,040.98x = 1,561.36 × 424.73
  4. Step 4: Simplify right side
    1,040.98x = 663,156.43
  5. Step 5: Solve for x
    x = 663,156.43/1,040.98
  6. Step 6: Final answer
    x = 637.05

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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.