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Finding the Fourth Proportional to 1,444.46, 2,166.68 and 578.77

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Solution

The fourth proportional to 1,444.46, 2,166.68 and 578.77 is: 868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.46 : 2,166.68 = 578.77 : x
  2. Step 2: Convert to fraction form
    1,444.46/2,166.68 = 578.77/x
  3. Step 3: Cross multiply
    1,444.46x = 2,166.68 × 578.77
  4. Step 4: Simplify right side
    1,444.46x = 1,254,005.41
  5. Step 5: Solve for x
    x = 1,254,005.41/1,444.46
  6. Step 6: Final answer
    x = 868.15

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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.