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Finding the Fourth Proportional to 1,024.83, 1,414.20 and 559.08

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Solution

The fourth proportional to 1,024.83, 1,414.20 and 559.08 is: 771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.83 : 1,414.20 = 559.08 : x
  2. Step 2: Convert to fraction form
    1,024.83/1,414.20 = 559.08/x
  3. Step 3: Cross multiply
    1,024.83x = 1,414.20 × 559.08
  4. Step 4: Simplify right side
    1,024.83x = 790,650.94
  5. Step 5: Solve for x
    x = 790,650.94/1,024.83
  6. Step 6: Final answer
    x = 771.49

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