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Finding the Fourth Proportional to 1,001.12, 1,500.26 and 452.34

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Solution

The fourth proportional to 1,001.12, 1,500.26 and 452.34 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.12 : 1,500.26 = 452.34 : x
  2. Step 2: Convert to fraction form
    1,001.12/1,500.26 = 452.34/x
  3. Step 3: Cross multiply
    1,001.12x = 1,500.26 × 452.34
  4. Step 4: Simplify right side
    1,001.12x = 678,625.35
  5. Step 5: Solve for x
    x = 678,625.35/1,001.12
  6. Step 6: Final answer
    x = 677.87

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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.