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Finding the Fourth Proportional to 1,579.13, 2,369.15 and 468.57

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Solution

The fourth proportional to 1,579.13, 2,369.15 and 468.57 is: 702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.13 : 2,369.15 = 468.57 : x
  2. Step 2: Convert to fraction form
    1,579.13/2,369.15 = 468.57/x
  3. Step 3: Cross multiply
    1,579.13x = 2,369.15 × 468.57
  4. Step 4: Simplify right side
    1,579.13x = 1,110,112.62
  5. Step 5: Solve for x
    x = 1,110,112.62/1,579.13
  6. Step 6: Final answer
    x = 702.99

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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.