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Finding the Fourth Proportional to 975.13, 1,342.97 and 972.16

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Solution

The fourth proportional to 975.13, 1,342.97 and 972.16 is: 1,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.13 : 1,342.97 = 972.16 : x
  2. Step 2: Convert to fraction form
    975.13/1,342.97 = 972.16/x
  3. Step 3: Cross multiply
    975.13x = 1,342.97 × 972.16
  4. Step 4: Simplify right side
    975.13x = 1,305,581.72
  5. Step 5: Solve for x
    x = 1,305,581.72/975.13
  6. Step 6: Final answer
    x = 1,338.88

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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.