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Finding the Fourth Proportional to 823.71, 1,235.66 and 207.42

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Solution

The fourth proportional to 823.71, 1,235.66 and 207.42 is: 311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.71 : 1,235.66 = 207.42 : x
  2. Step 2: Convert to fraction form
    823.71/1,235.66 = 207.42/x
  3. Step 3: Cross multiply
    823.71x = 1,235.66 × 207.42
  4. Step 4: Simplify right side
    823.71x = 256,303.61
  5. Step 5: Solve for x
    x = 256,303.61/823.71
  6. Step 6: Final answer
    x = 311.16

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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.