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Finding the Fourth Proportional to 970.47, 1,338.32 and 748.94

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Solution

The fourth proportional to 970.47, 1,338.32 and 748.94 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.47 : 1,338.32 = 748.94 : x
  2. Step 2: Convert to fraction form
    970.47/1,338.32 = 748.94/x
  3. Step 3: Cross multiply
    970.47x = 1,338.32 × 748.94
  4. Step 4: Simplify right side
    970.47x = 1,002,316.56
  5. Step 5: Solve for x
    x = 1,002,316.56/970.47
  6. Step 6: Final answer
    x = 1,032.82

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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.