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Finding the Fourth Proportional to 1,473.41, 2,204.55 and 878.23

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Solution

The fourth proportional to 1,473.41, 2,204.55 and 878.23 is: 1,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.41 : 2,204.55 = 878.23 : x
  2. Step 2: Convert to fraction form
    1,473.41/2,204.55 = 878.23/x
  3. Step 3: Cross multiply
    1,473.41x = 2,204.55 × 878.23
  4. Step 4: Simplify right side
    1,473.41x = 1,936,108.00
  5. Step 5: Solve for x
    x = 1,936,108.00/1,473.41
  6. Step 6: Final answer
    x = 1,314.03

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1.5x scale

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.