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Finding the Fourth Proportional to 1,114.10, 1,671.15 and 838.70

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Solution

The fourth proportional to 1,114.10, 1,671.15 and 838.70 is: 1,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.10 : 1,671.15 = 838.70 : x
  2. Step 2: Convert to fraction form
    1,114.10/1,671.15 = 838.70/x
  3. Step 3: Cross multiply
    1,114.10x = 1,671.15 × 838.70
  4. Step 4: Simplify right side
    1,114.10x = 1,401,593.51
  5. Step 5: Solve for x
    x = 1,401,593.51/1,114.10
  6. Step 6: Final answer
    x = 1,258.05

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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.