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Finding the Fourth Proportional to 1,024.77, 1,537.46 and 408.13

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Solution

The fourth proportional to 1,024.77, 1,537.46 and 408.13 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.77 : 1,537.46 = 408.13 : x
  2. Step 2: Convert to fraction form
    1,024.77/1,537.46 = 408.13/x
  3. Step 3: Cross multiply
    1,024.77x = 1,537.46 × 408.13
  4. Step 4: Simplify right side
    1,024.77x = 627,483.55
  5. Step 5: Solve for x
    x = 627,483.55/1,024.77
  6. Step 6: Final answer
    x = 612.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.