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Finding the Fourth Proportional to 1,079.91, 1,620.04 and 532.15

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Solution

The fourth proportional to 1,079.91, 1,620.04 and 532.15 is: 798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.91 : 1,620.04 = 532.15 : x
  2. Step 2: Convert to fraction form
    1,079.91/1,620.04 = 532.15/x
  3. Step 3: Cross multiply
    1,079.91x = 1,620.04 × 532.15
  4. Step 4: Simplify right side
    1,079.91x = 862,098.91
  5. Step 5: Solve for x
    x = 862,098.91/1,079.91
  6. Step 6: Final answer
    x = 798.31

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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.