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Finding the Fourth Proportional to 1,147.24, 1,722.47 and 592.42

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Solution

The fourth proportional to 1,147.24, 1,722.47 and 592.42 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.24 : 1,722.47 = 592.42 : x
  2. Step 2: Convert to fraction form
    1,147.24/1,722.47 = 592.42/x
  3. Step 3: Cross multiply
    1,147.24x = 1,722.47 × 592.42
  4. Step 4: Simplify right side
    1,147.24x = 1,020,425.68
  5. Step 5: Solve for x
    x = 1,020,425.68/1,147.24
  6. Step 6: Final answer
    x = 889.46

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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.