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Finding the Fourth Proportional to 1,007.24, 1,510.96 and 422.42

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Solution

The fourth proportional to 1,007.24, 1,510.96 and 422.42 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.24 : 1,510.96 = 422.42 : x
  2. Step 2: Convert to fraction form
    1,007.24/1,510.96 = 422.42/x
  3. Step 3: Cross multiply
    1,007.24x = 1,510.96 × 422.42
  4. Step 4: Simplify right side
    1,007.24x = 638,261.76
  5. Step 5: Solve for x
    x = 638,261.76/1,007.24
  6. Step 6: Final answer
    x = 633.68

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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.