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Finding the Fourth Proportional to 694.42, 1,041.81 and 261.61

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Solution

The fourth proportional to 694.42, 1,041.81 and 261.61 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.42 : 1,041.81 = 261.61 : x
  2. Step 2: Convert to fraction form
    694.42/1,041.81 = 261.61/x
  3. Step 3: Cross multiply
    694.42x = 1,041.81 × 261.61
  4. Step 4: Simplify right side
    694.42x = 272,547.91
  5. Step 5: Solve for x
    x = 272,547.91/694.42
  6. Step 6: Final answer
    x = 392.48

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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.