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Finding the Fourth Proportional to 1,114.37, 1,671.57 and 985.89

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Solution

The fourth proportional to 1,114.37, 1,671.57 and 985.89 is: 1,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.37 : 1,671.57 = 985.89 : x
  2. Step 2: Convert to fraction form
    1,114.37/1,671.57 = 985.89/x
  3. Step 3: Cross multiply
    1,114.37x = 1,671.57 × 985.89
  4. Step 4: Simplify right side
    1,114.37x = 1,647,981.01
  5. Step 5: Solve for x
    x = 1,647,981.01/1,114.37
  6. Step 6: Final answer
    x = 1,478.84

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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.