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Finding the Fourth Proportional to 1,478.88, 2,217.06 and 698.49

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Solution

The fourth proportional to 1,478.88, 2,217.06 and 698.49 is: 1,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.88 : 2,217.06 = 698.49 : x
  2. Step 2: Convert to fraction form
    1,478.88/2,217.06 = 698.49/x
  3. Step 3: Cross multiply
    1,478.88x = 2,217.06 × 698.49
  4. Step 4: Simplify right side
    1,478.88x = 1,548,594.24
  5. Step 5: Solve for x
    x = 1,548,594.24/1,478.88
  6. Step 6: Final answer
    x = 1,047.14

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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.