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Finding the Fourth Proportional to 1,044.95, 1,568.12 and 467.82

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Solution

The fourth proportional to 1,044.95, 1,568.12 and 467.82 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.95 : 1,568.12 = 467.82 : x
  2. Step 2: Convert to fraction form
    1,044.95/1,568.12 = 467.82/x
  3. Step 3: Cross multiply
    1,044.95x = 1,568.12 × 467.82
  4. Step 4: Simplify right side
    1,044.95x = 733,595.56
  5. Step 5: Solve for x
    x = 733,595.56/1,044.95
  6. Step 6: Final answer
    x = 702.04

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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.