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Finding the Fourth Proportional to 678.62, 1,013.44 and 580.08

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Solution

The fourth proportional to 678.62, 1,013.44 and 580.08 is: 866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 1,013.44 = 580.08 : x
  2. Step 2: Convert to fraction form
    678.62/1,013.44 = 580.08/x
  3. Step 3: Cross multiply
    678.62x = 1,013.44 × 580.08
  4. Step 4: Simplify right side
    678.62x = 587,876.28
  5. Step 5: Solve for x
    x = 587,876.28/678.62
  6. Step 6: Final answer
    x = 866.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.