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Finding the Fourth Proportional to 1,044.40, 1,566.42 and 395.14

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Solution

The fourth proportional to 1,044.40, 1,566.42 and 395.14 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.40 : 1,566.42 = 395.14 : x
  2. Step 2: Convert to fraction form
    1,044.40/1,566.42 = 395.14/x
  3. Step 3: Cross multiply
    1,044.40x = 1,566.42 × 395.14
  4. Step 4: Simplify right side
    1,044.40x = 618,955.20
  5. Step 5: Solve for x
    x = 618,955.20/1,044.40
  6. Step 6: Final answer
    x = 592.64

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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.