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Finding the Fourth Proportional to 693.66, 1,040.52 and 206.70

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Solution

The fourth proportional to 693.66, 1,040.52 and 206.70 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.66 : 1,040.52 = 206.70 : x
  2. Step 2: Convert to fraction form
    693.66/1,040.52 = 206.70/x
  3. Step 3: Cross multiply
    693.66x = 1,040.52 × 206.70
  4. Step 4: Simplify right side
    693.66x = 215,075.48
  5. Step 5: Solve for x
    x = 215,075.48/693.66
  6. Step 6: Final answer
    x = 310.06

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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.