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Finding the Fourth Proportional to 1,010.97, 1,514.41 and 462.40

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Solution

The fourth proportional to 1,010.97, 1,514.41 and 462.40 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.97 : 1,514.41 = 462.40 : x
  2. Step 2: Convert to fraction form
    1,010.97/1,514.41 = 462.40/x
  3. Step 3: Cross multiply
    1,010.97x = 1,514.41 × 462.40
  4. Step 4: Simplify right side
    1,010.97x = 700,255.61
  5. Step 5: Solve for x
    x = 700,255.61/1,010.97
  6. Step 6: Final answer
    x = 692.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.