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Finding the Fourth Proportional to 1,354.22, 2,031.34 and 532.58

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Solution

The fourth proportional to 1,354.22, 2,031.34 and 532.58 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.22 : 2,031.34 = 532.58 : x
  2. Step 2: Convert to fraction form
    1,354.22/2,031.34 = 532.58/x
  3. Step 3: Cross multiply
    1,354.22x = 2,031.34 × 532.58
  4. Step 4: Simplify right side
    1,354.22x = 1,081,851.06
  5. Step 5: Solve for x
    x = 1,081,851.06/1,354.22
  6. Step 6: Final answer
    x = 798.87

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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.