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Finding the Fourth Proportional to 876.98, 1,315.47 and 227.72

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Solution

The fourth proportional to 876.98, 1,315.47 and 227.72 is: 341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.98 : 1,315.47 = 227.72 : x
  2. Step 2: Convert to fraction form
    876.98/1,315.47 = 227.72/x
  3. Step 3: Cross multiply
    876.98x = 1,315.47 × 227.72
  4. Step 4: Simplify right side
    876.98x = 299,551.11
  5. Step 5: Solve for x
    x = 299,551.11/876.98
  6. Step 6: Final answer
    x = 341.57

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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.