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Finding the Fourth Proportional to 1,024.65, 1,536.98 and 408.11

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Solution

The fourth proportional to 1,024.65, 1,536.98 and 408.11 is: 612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,536.98 = 408.11 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,536.98 = 408.11/x
  3. Step 3: Cross multiply
    1,024.65x = 1,536.98 × 408.11
  4. Step 4: Simplify right side
    1,024.65x = 627,247.18
  5. Step 5: Solve for x
    x = 627,247.18/1,024.65
  6. Step 6: Final answer
    x = 612.16

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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.