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Finding the Fourth Proportional to 880.47, 1,206.09 and 870.75

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Solution

The fourth proportional to 880.47, 1,206.09 and 870.75 is: 1,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,206.09 = 870.75 : x
  2. Step 2: Convert to fraction form
    880.47/1,206.09 = 870.75/x
  3. Step 3: Cross multiply
    880.47x = 1,206.09 × 870.75
  4. Step 4: Simplify right side
    880.47x = 1,050,202.87
  5. Step 5: Solve for x
    x = 1,050,202.87/880.47
  6. Step 6: Final answer
    x = 1,192.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.