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Finding the Fourth Proportional to 1,376.08, 1,899.06 and 878.32

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Solution

The fourth proportional to 1,376.08, 1,899.06 and 878.32 is: 1,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.08 : 1,899.06 = 878.32 : x
  2. Step 2: Convert to fraction form
    1,376.08/1,899.06 = 878.32/x
  3. Step 3: Cross multiply
    1,376.08x = 1,899.06 × 878.32
  4. Step 4: Simplify right side
    1,376.08x = 1,667,982.38
  5. Step 5: Solve for x
    x = 1,667,982.38/1,376.08
  6. Step 6: Final answer
    x = 1,212.13

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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.