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Finding the Fourth Proportional to 1,024.13, 1,536.71 and 438.97

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Solution

The fourth proportional to 1,024.13, 1,536.71 and 438.97 is: 658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,536.71 = 438.97 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,536.71 = 438.97/x
  3. Step 3: Cross multiply
    1,024.13x = 1,536.71 × 438.97
  4. Step 4: Simplify right side
    1,024.13x = 674,574.53
  5. Step 5: Solve for x
    x = 674,574.53/1,024.13
  6. Step 6: Final answer
    x = 658.68

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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.