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Finding the Fourth Proportional to 1,520.48, 2,279.88 and 698.30

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Solution

The fourth proportional to 1,520.48, 2,279.88 and 698.30 is: 1,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.48 : 2,279.88 = 698.30 : x
  2. Step 2: Convert to fraction form
    1,520.48/2,279.88 = 698.30/x
  3. Step 3: Cross multiply
    1,520.48x = 2,279.88 × 698.30
  4. Step 4: Simplify right side
    1,520.48x = 1,592,040.20
  5. Step 5: Solve for x
    x = 1,592,040.20/1,520.48
  6. Step 6: Final answer
    x = 1,047.06

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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.