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Finding the Fourth Proportional to 1,553.18, 2,329.87 and 578.96

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Solution

The fourth proportional to 1,553.18, 2,329.87 and 578.96 is: 868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.18 : 2,329.87 = 578.96 : x
  2. Step 2: Convert to fraction form
    1,553.18/2,329.87 = 578.96/x
  3. Step 3: Cross multiply
    1,553.18x = 2,329.87 × 578.96
  4. Step 4: Simplify right side
    1,553.18x = 1,348,889.89
  5. Step 5: Solve for x
    x = 1,348,889.89/1,553.18
  6. Step 6: Final answer
    x = 868.47

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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.