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Finding the Fourth Proportional to 1,521.55, 2,282.43 and 425.89

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Solution

The fourth proportional to 1,521.55, 2,282.43 and 425.89 is: 638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.55 : 2,282.43 = 425.89 : x
  2. Step 2: Convert to fraction form
    1,521.55/2,282.43 = 425.89/x
  3. Step 3: Cross multiply
    1,521.55x = 2,282.43 × 425.89
  4. Step 4: Simplify right side
    1,521.55x = 972,064.11
  5. Step 5: Solve for x
    x = 972,064.11/1,521.55
  6. Step 6: Final answer
    x = 638.86

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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.