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Finding the Fourth Proportional to 972.80, 1,462.80 and 814.40

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Solution

The fourth proportional to 972.80, 1,462.80 and 814.40 is: 1,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.80 : 1,462.80 = 814.40 : x
  2. Step 2: Convert to fraction form
    972.80/1,462.80 = 814.40/x
  3. Step 3: Cross multiply
    972.80x = 1,462.80 × 814.40
  4. Step 4: Simplify right side
    972.80x = 1,191,304.32
  5. Step 5: Solve for x
    x = 1,191,304.32/972.80
  6. Step 6: Final answer
    x = 1,224.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.