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Finding the Fourth Proportional to 823.40, 1,232.70 and 727.40

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Solution

The fourth proportional to 823.40, 1,232.70 and 727.40 is: 1,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.40 : 1,232.70 = 727.40 : x
  2. Step 2: Convert to fraction form
    823.40/1,232.70 = 727.40/x
  3. Step 3: Cross multiply
    823.40x = 1,232.70 × 727.40
  4. Step 4: Simplify right side
    823.40x = 896,665.98
  5. Step 5: Solve for x
    x = 896,665.98/823.40
  6. Step 6: Final answer
    x = 1,088.98

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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.