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Finding the Fourth Proportional to 910.28, 1,257.45 and 876.57

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Solution

The fourth proportional to 910.28, 1,257.45 and 876.57 is: 1,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.28 : 1,257.45 = 876.57 : x
  2. Step 2: Convert to fraction form
    910.28/1,257.45 = 876.57/x
  3. Step 3: Cross multiply
    910.28x = 1,257.45 × 876.57
  4. Step 4: Simplify right side
    910.28x = 1,102,242.95
  5. Step 5: Solve for x
    x = 1,102,242.95/910.28
  6. Step 6: Final answer
    x = 1,210.88

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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.