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Finding the Fourth Proportional to 675.74, 1,016.69 and 402.00

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Solution

The fourth proportional to 675.74, 1,016.69 and 402.00 is: 604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.74 : 1,016.69 = 402.00 : x
  2. Step 2: Convert to fraction form
    675.74/1,016.69 = 402.00/x
  3. Step 3: Cross multiply
    675.74x = 1,016.69 × 402.00
  4. Step 4: Simplify right side
    675.74x = 408,703.56
  5. Step 5: Solve for x
    x = 408,703.56/675.74
  6. Step 6: Final answer
    x = 604.82

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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.