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Finding the Fourth Proportional to 1,354.08, 2,031.36 and 532.38

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Solution

The fourth proportional to 1,354.08, 2,031.36 and 532.38 is: 798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.08 : 2,031.36 = 532.38 : x
  2. Step 2: Convert to fraction form
    1,354.08/2,031.36 = 532.38/x
  3. Step 3: Cross multiply
    1,354.08x = 2,031.36 × 532.38
  4. Step 4: Simplify right side
    1,354.08x = 1,081,455.44
  5. Step 5: Solve for x
    x = 1,081,455.44/1,354.08
  6. Step 6: Final answer
    x = 798.66

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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.