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Finding the Fourth Proportional to 825.65, 1,233.18 and 678.56

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Solution

The fourth proportional to 825.65, 1,233.18 and 678.56 is: 1,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.65 : 1,233.18 = 678.56 : x
  2. Step 2: Convert to fraction form
    825.65/1,233.18 = 678.56/x
  3. Step 3: Cross multiply
    825.65x = 1,233.18 × 678.56
  4. Step 4: Simplify right side
    825.65x = 836,780.45
  5. Step 5: Solve for x
    x = 836,780.45/825.65
  6. Step 6: Final answer
    x = 1,013.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.