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Finding the Fourth Proportional to 1,024.84, 1,414.26 and 559.08

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Solution

The fourth proportional to 1,024.84, 1,414.26 and 559.08 is: 771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.84 : 1,414.26 = 559.08 : x
  2. Step 2: Convert to fraction form
    1,024.84/1,414.26 = 559.08/x
  3. Step 3: Cross multiply
    1,024.84x = 1,414.26 × 559.08
  4. Step 4: Simplify right side
    1,024.84x = 790,684.48
  5. Step 5: Solve for x
    x = 790,684.48/1,024.84
  6. Step 6: Final answer
    x = 771.52

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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.