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Finding the Fourth Proportional to 1,024.22, 1,537.14 and 447.50

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Solution

The fourth proportional to 1,024.22, 1,537.14 and 447.50 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.22 : 1,537.14 = 447.50 : x
  2. Step 2: Convert to fraction form
    1,024.22/1,537.14 = 447.50/x
  3. Step 3: Cross multiply
    1,024.22x = 1,537.14 × 447.50
  4. Step 4: Simplify right side
    1,024.22x = 687,870.15
  5. Step 5: Solve for x
    x = 687,870.15/1,024.22
  6. Step 6: Final answer
    x = 671.60

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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.