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Finding the Fourth Proportional to 1,024.66, 1,536.98 and 255.16

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Solution

The fourth proportional to 1,024.66, 1,536.98 and 255.16 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.66 : 1,536.98 = 255.16 : x
  2. Step 2: Convert to fraction form
    1,024.66/1,536.98 = 255.16/x
  3. Step 3: Cross multiply
    1,024.66x = 1,536.98 × 255.16
  4. Step 4: Simplify right side
    1,024.66x = 392,175.82
  5. Step 5: Solve for x
    x = 392,175.82/1,024.66
  6. Step 6: Final answer
    x = 382.74

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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.