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Finding the Fourth Proportional to 1,148.22, 1,722.34 and 282.52

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Solution

The fourth proportional to 1,148.22, 1,722.34 and 282.52 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.22 : 1,722.34 = 282.52 : x
  2. Step 2: Convert to fraction form
    1,148.22/1,722.34 = 282.52/x
  3. Step 3: Cross multiply
    1,148.22x = 1,722.34 × 282.52
  4. Step 4: Simplify right side
    1,148.22x = 486,595.50
  5. Step 5: Solve for x
    x = 486,595.50/1,148.22
  6. Step 6: Final answer
    x = 423.78

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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.