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Finding the Fourth Proportional to 1,478.58, 2,218.59 and 698.55

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Solution

The fourth proportional to 1,478.58, 2,218.59 and 698.55 is: 1,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.58 : 2,218.59 = 698.55 : x
  2. Step 2: Convert to fraction form
    1,478.58/2,218.59 = 698.55/x
  3. Step 3: Cross multiply
    1,478.58x = 2,218.59 × 698.55
  4. Step 4: Simplify right side
    1,478.58x = 1,549,796.04
  5. Step 5: Solve for x
    x = 1,549,796.04/1,478.58
  6. Step 6: Final answer
    x = 1,048.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.