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Finding the Fourth Proportional to 972.16, 1,341.53 and 552.46

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Solution

The fourth proportional to 972.16, 1,341.53 and 552.46 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,341.53 = 552.46 : x
  2. Step 2: Convert to fraction form
    972.16/1,341.53 = 552.46/x
  3. Step 3: Cross multiply
    972.16x = 1,341.53 × 552.46
  4. Step 4: Simplify right side
    972.16x = 741,134.96
  5. Step 5: Solve for x
    x = 741,134.96/972.16
  6. Step 6: Final answer
    x = 762.36

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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.