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Finding the Fourth Proportional to 1,044.57, 1,566.69 and 395.16

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Solution

The fourth proportional to 1,044.57, 1,566.69 and 395.16 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.57 : 1,566.69 = 395.16 : x
  2. Step 2: Convert to fraction form
    1,044.57/1,566.69 = 395.16/x
  3. Step 3: Cross multiply
    1,044.57x = 1,566.69 × 395.16
  4. Step 4: Simplify right side
    1,044.57x = 619,093.22
  5. Step 5: Solve for x
    x = 619,093.22/1,044.57
  6. Step 6: Final answer
    x = 592.68

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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.