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Finding the Fourth Proportional to 1,377.07, 2,065.17 and 452.42

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Solution

The fourth proportional to 1,377.07, 2,065.17 and 452.42 is: 678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.07 : 2,065.17 = 452.42 : x
  2. Step 2: Convert to fraction form
    1,377.07/2,065.17 = 452.42/x
  3. Step 3: Cross multiply
    1,377.07x = 2,065.17 × 452.42
  4. Step 4: Simplify right side
    1,377.07x = 934,317.70
  5. Step 5: Solve for x
    x = 934,317.70/1,377.07
  6. Step 6: Final answer
    x = 678.48

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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.