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Finding the Fourth Proportional to 1,444.04, 2,165.88 and 578.96

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Solution

The fourth proportional to 1,444.04, 2,165.88 and 578.96 is: 868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.04 : 2,165.88 = 578.96 : x
  2. Step 2: Convert to fraction form
    1,444.04/2,165.88 = 578.96/x
  3. Step 3: Cross multiply
    1,444.04x = 2,165.88 × 578.96
  4. Step 4: Simplify right side
    1,444.04x = 1,253,957.88
  5. Step 5: Solve for x
    x = 1,253,957.88/1,444.04
  6. Step 6: Final answer
    x = 868.37

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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.