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Finding the Fourth Proportional to 1,024.88, 1,414.35 and 559.13

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Solution

The fourth proportional to 1,024.88, 1,414.35 and 559.13 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.88 : 1,414.35 = 559.13 : x
  2. Step 2: Convert to fraction form
    1,024.88/1,414.35 = 559.13/x
  3. Step 3: Cross multiply
    1,024.88x = 1,414.35 × 559.13
  4. Step 4: Simplify right side
    1,024.88x = 790,798.44
  5. Step 5: Solve for x
    x = 790,798.44/1,024.88
  6. Step 6: Final answer
    x = 771.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.