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Finding the Fourth Proportional to 1,387.03, 2,079.96 and 462.34

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Solution

The fourth proportional to 1,387.03, 2,079.96 and 462.34 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.03 : 2,079.96 = 462.34 : x
  2. Step 2: Convert to fraction form
    1,387.03/2,079.96 = 462.34/x
  3. Step 3: Cross multiply
    1,387.03x = 2,079.96 × 462.34
  4. Step 4: Simplify right side
    1,387.03x = 961,648.71
  5. Step 5: Solve for x
    x = 961,648.71/1,387.03
  6. Step 6: Final answer
    x = 693.32

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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.