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Finding the Fourth Proportional to 698.48, 1,047.36 and 479.43

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Solution

The fourth proportional to 698.48, 1,047.36 and 479.43 is: 718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.48 : 1,047.36 = 479.43 : x
  2. Step 2: Convert to fraction form
    698.48/1,047.36 = 479.43/x
  3. Step 3: Cross multiply
    698.48x = 1,047.36 × 479.43
  4. Step 4: Simplify right side
    698.48x = 502,135.80
  5. Step 5: Solve for x
    x = 502,135.80/698.48
  6. Step 6: Final answer
    x = 718.90

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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.