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Finding the Fourth Proportional to 1,010.24, 1,514.74 and 461.90

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Solution

The fourth proportional to 1,010.24, 1,514.74 and 461.90 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.24 : 1,514.74 = 461.90 : x
  2. Step 2: Convert to fraction form
    1,010.24/1,514.74 = 461.90/x
  3. Step 3: Cross multiply
    1,010.24x = 1,514.74 × 461.90
  4. Step 4: Simplify right side
    1,010.24x = 699,658.41
  5. Step 5: Solve for x
    x = 699,658.41/1,010.24
  6. Step 6: Final answer
    x = 692.57

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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.