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Finding the Fourth Proportional to 694.59, 1,041.71 and 207.59

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Solution

The fourth proportional to 694.59, 1,041.71 and 207.59 is: 311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.59 : 1,041.71 = 207.59 : x
  2. Step 2: Convert to fraction form
    694.59/1,041.71 = 207.59/x
  3. Step 3: Cross multiply
    694.59x = 1,041.71 × 207.59
  4. Step 4: Simplify right side
    694.59x = 216,242.33
  5. Step 5: Solve for x
    x = 216,242.33/694.59
  6. Step 6: Final answer
    x = 311.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.