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Finding the Fourth Proportional to 880.69, 1,314.14 and 875.56

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Solution

The fourth proportional to 880.69, 1,314.14 and 875.56 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.69 : 1,314.14 = 875.56 : x
  2. Step 2: Convert to fraction form
    880.69/1,314.14 = 875.56/x
  3. Step 3: Cross multiply
    880.69x = 1,314.14 × 875.56
  4. Step 4: Simplify right side
    880.69x = 1,150,604.45
  5. Step 5: Solve for x
    x = 1,150,604.45/880.69
  6. Step 6: Final answer
    x = 1,306.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.