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Finding the Fourth Proportional to 1,416.08, 2,124.66 and 685.55

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Solution

The fourth proportional to 1,416.08, 2,124.66 and 685.55 is: 1,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.08 : 2,124.66 = 685.55 : x
  2. Step 2: Convert to fraction form
    1,416.08/2,124.66 = 685.55/x
  3. Step 3: Cross multiply
    1,416.08x = 2,124.66 × 685.55
  4. Step 4: Simplify right side
    1,416.08x = 1,456,560.66
  5. Step 5: Solve for x
    x = 1,456,560.66/1,416.08
  6. Step 6: Final answer
    x = 1,028.59

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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.