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Finding the Fourth Proportional to 689.84, 1,034.92 and 227.60

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Solution

The fourth proportional to 689.84, 1,034.92 and 227.60 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.84 : 1,034.92 = 227.60 : x
  2. Step 2: Convert to fraction form
    689.84/1,034.92 = 227.60/x
  3. Step 3: Cross multiply
    689.84x = 1,034.92 × 227.60
  4. Step 4: Simplify right side
    689.84x = 235,547.79
  5. Step 5: Solve for x
    x = 235,547.79/689.84
  6. Step 6: Final answer
    x = 341.45

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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.