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Finding the Fourth Proportional to 766.11, 1,148.61 and 245.81

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Solution

The fourth proportional to 766.11, 1,148.61 and 245.81 is: 368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,148.61 = 245.81 : x
  2. Step 2: Convert to fraction form
    766.11/1,148.61 = 245.81/x
  3. Step 3: Cross multiply
    766.11x = 1,148.61 × 245.81
  4. Step 4: Simplify right side
    766.11x = 282,339.82
  5. Step 5: Solve for x
    x = 282,339.82/766.11
  6. Step 6: Final answer
    x = 368.54

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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.