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Finding the Fourth Proportional to 1,416.06, 2,123.85 and 685.44

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Solution

The fourth proportional to 1,416.06, 2,123.85 and 685.44 is: 1,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.06 : 2,123.85 = 685.44 : x
  2. Step 2: Convert to fraction form
    1,416.06/2,123.85 = 685.44/x
  3. Step 3: Cross multiply
    1,416.06x = 2,123.85 × 685.44
  4. Step 4: Simplify right side
    1,416.06x = 1,455,771.74
  5. Step 5: Solve for x
    x = 1,455,771.74/1,416.06
  6. Step 6: Final answer
    x = 1,028.04

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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.