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Finding the Fourth Proportional to 1,366.31, 1,884.84 and 861.94

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Solution

The fourth proportional to 1,366.31, 1,884.84 and 861.94 is: 1,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.31 : 1,884.84 = 861.94 : x
  2. Step 2: Convert to fraction form
    1,366.31/1,884.84 = 861.94/x
  3. Step 3: Cross multiply
    1,366.31x = 1,884.84 × 861.94
  4. Step 4: Simplify right side
    1,366.31x = 1,624,618.11
  5. Step 5: Solve for x
    x = 1,624,618.11/1,366.31
  6. Step 6: Final answer
    x = 1,189.05

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1.5x scale

Why These Related Problems?

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