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Finding the Fourth Proportional to 1,024.91, 1,414.37 and 559.16

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Solution

The fourth proportional to 1,024.91, 1,414.37 and 559.16 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.91 : 1,414.37 = 559.16 : x
  2. Step 2: Convert to fraction form
    1,024.91/1,414.37 = 559.16/x
  3. Step 3: Cross multiply
    1,024.91x = 1,414.37 × 559.16
  4. Step 4: Simplify right side
    1,024.91x = 790,860.53
  5. Step 5: Solve for x
    x = 790,860.53/1,024.91
  6. Step 6: Final answer
    x = 771.64

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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.