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Finding the Fourth Proportional to 1,174.16, 1,618.96 and 878.92

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Solution

The fourth proportional to 1,174.16, 1,618.96 and 878.92 is: 1,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.16 : 1,618.96 = 878.92 : x
  2. Step 2: Convert to fraction form
    1,174.16/1,618.96 = 878.92/x
  3. Step 3: Cross multiply
    1,174.16x = 1,618.96 × 878.92
  4. Step 4: Simplify right side
    1,174.16x = 1,422,936.32
  5. Step 5: Solve for x
    x = 1,422,936.32/1,174.16
  6. Step 6: Final answer
    x = 1,211.88

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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.