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Finding the Fourth Proportional to 972.36, 1,342 and 552.63

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Solution

The fourth proportional to 972.36, 1,342 and 552.63 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,342 = 552.63 : x
  2. Step 2: Convert to fraction form
    972.36/1,342 = 552.63/x
  3. Step 3: Cross multiply
    972.36x = 1,342 × 552.63
  4. Step 4: Simplify right side
    972.36x = 741,629.46
  5. Step 5: Solve for x
    x = 741,629.46/972.36
  6. Step 6: Final answer
    x = 762.71

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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.