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Finding the Fourth Proportional to 972.34, 1,340.49 and 824.38

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Solution

The fourth proportional to 972.34, 1,340.49 and 824.38 is: 1,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,340.49 = 824.38 : x
  2. Step 2: Convert to fraction form
    972.34/1,340.49 = 824.38/x
  3. Step 3: Cross multiply
    972.34x = 1,340.49 × 824.38
  4. Step 4: Simplify right side
    972.34x = 1,105,073.15
  5. Step 5: Solve for x
    x = 1,105,073.15/972.34
  6. Step 6: Final answer
    x = 1,136.51

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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.