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Finding the Fourth Proportional to 948.71, 1,423.34 and 688.97

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Solution

The fourth proportional to 948.71, 1,423.34 and 688.97 is: 1,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.71 : 1,423.34 = 688.97 : x
  2. Step 2: Convert to fraction form
    948.71/1,423.34 = 688.97/x
  3. Step 3: Cross multiply
    948.71x = 1,423.34 × 688.97
  4. Step 4: Simplify right side
    948.71x = 980,638.56
  5. Step 5: Solve for x
    x = 980,638.56/948.71
  6. Step 6: Final answer
    x = 1,033.65

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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.