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Finding the Fourth Proportional to 1,044.65, 1,567.17 and 395.84

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Solution

The fourth proportional to 1,044.65, 1,567.17 and 395.84 is: 593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.65 : 1,567.17 = 395.84 : x
  2. Step 2: Convert to fraction form
    1,044.65/1,567.17 = 395.84/x
  3. Step 3: Cross multiply
    1,044.65x = 1,567.17 × 395.84
  4. Step 4: Simplify right side
    1,044.65x = 620,340.74
  5. Step 5: Solve for x
    x = 620,340.74/1,044.65
  6. Step 6: Final answer
    x = 593.83

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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.