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Finding the Fourth Proportional to 1,377.23, 2,065.64 and 452.82

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Solution

The fourth proportional to 1,377.23, 2,065.64 and 452.82 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.23 : 2,065.64 = 452.82 : x
  2. Step 2: Convert to fraction form
    1,377.23/2,065.64 = 452.82/x
  3. Step 3: Cross multiply
    1,377.23x = 2,065.64 × 452.82
  4. Step 4: Simplify right side
    1,377.23x = 935,363.10
  5. Step 5: Solve for x
    x = 935,363.10/1,377.23
  6. Step 6: Final answer
    x = 679.16

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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.