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Finding the Fourth Proportional to 1,033.10, 1,549.65 and 838.70

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Solution

The fourth proportional to 1,033.10, 1,549.65 and 838.70 is: 1,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.10 : 1,549.65 = 838.70 : x
  2. Step 2: Convert to fraction form
    1,033.10/1,549.65 = 838.70/x
  3. Step 3: Cross multiply
    1,033.10x = 1,549.65 × 838.70
  4. Step 4: Simplify right side
    1,033.10x = 1,299,691.46
  5. Step 5: Solve for x
    x = 1,299,691.46/1,033.10
  6. Step 6: Final answer
    x = 1,258.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.