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Finding the Fourth Proportional to 972.25, 1,341.96 and 552.85

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Solution

The fourth proportional to 972.25, 1,341.96 and 552.85 is: 763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.25 : 1,341.96 = 552.85 : x
  2. Step 2: Convert to fraction form
    972.25/1,341.96 = 552.85/x
  3. Step 3: Cross multiply
    972.25x = 1,341.96 × 552.85
  4. Step 4: Simplify right side
    972.25x = 741,902.29
  5. Step 5: Solve for x
    x = 741,902.29/972.25
  6. Step 6: Final answer
    x = 763.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.