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Finding the Fourth Proportional to 1,603.62, 2,404.98 and 679.14

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Solution

The fourth proportional to 1,603.62, 2,404.98 and 679.14 is: 1,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.62 : 2,404.98 = 679.14 : x
  2. Step 2: Convert to fraction form
    1,603.62/2,404.98 = 679.14/x
  3. Step 3: Cross multiply
    1,603.62x = 2,404.98 × 679.14
  4. Step 4: Simplify right side
    1,603.62x = 1,633,318.12
  5. Step 5: Solve for x
    x = 1,633,318.12/1,603.62
  6. Step 6: Final answer
    x = 1,018.52

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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.