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Finding the Fourth Proportional to 1,024.78, 1,414.13 and 692.68

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Solution

The fourth proportional to 1,024.78, 1,414.13 and 692.68 is: 955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.78 : 1,414.13 = 692.68 : x
  2. Step 2: Convert to fraction form
    1,024.78/1,414.13 = 692.68/x
  3. Step 3: Cross multiply
    1,024.78x = 1,414.13 × 692.68
  4. Step 4: Simplify right side
    1,024.78x = 979,539.57
  5. Step 5: Solve for x
    x = 979,539.57/1,024.78
  6. Step 6: Final answer
    x = 955.85

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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.