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Finding the Fourth Proportional to 972.50, 1,341.81 and 552.75

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Solution

The fourth proportional to 972.50, 1,341.81 and 552.75 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.50 : 1,341.81 = 552.75 : x
  2. Step 2: Convert to fraction form
    972.50/1,341.81 = 552.75/x
  3. Step 3: Cross multiply
    972.50x = 1,341.81 × 552.75
  4. Step 4: Simplify right side
    972.50x = 741,685.48
  5. Step 5: Solve for x
    x = 741,685.48/972.50
  6. Step 6: Final answer
    x = 762.66

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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.