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Finding the Fourth Proportional to 1,408.46, 1,944.62 and 877.55

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Solution

The fourth proportional to 1,408.46, 1,944.62 and 877.55 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.46 : 1,944.62 = 877.55 : x
  2. Step 2: Convert to fraction form
    1,408.46/1,944.62 = 877.55/x
  3. Step 3: Cross multiply
    1,408.46x = 1,944.62 × 877.55
  4. Step 4: Simplify right side
    1,408.46x = 1,706,506.34
  5. Step 5: Solve for x
    x = 1,706,506.34/1,408.46
  6. Step 6: Final answer
    x = 1,211.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.