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Finding the Fourth Proportional to 972.20, 1,341.52 and 552.40

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Solution

The fourth proportional to 972.20, 1,341.52 and 552.40 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.20 : 1,341.52 = 552.40 : x
  2. Step 2: Convert to fraction form
    972.20/1,341.52 = 552.40/x
  3. Step 3: Cross multiply
    972.20x = 1,341.52 × 552.40
  4. Step 4: Simplify right side
    972.20x = 741,055.65
  5. Step 5: Solve for x
    x = 741,055.65/972.20
  6. Step 6: Final answer
    x = 762.25

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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.