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Finding the Fourth Proportional to 766.19, 1,148.85 and 523.01

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Solution

The fourth proportional to 766.19, 1,148.85 and 523.01 is: 784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,148.85 = 523.01 : x
  2. Step 2: Convert to fraction form
    766.19/1,148.85 = 523.01/x
  3. Step 3: Cross multiply
    766.19x = 1,148.85 × 523.01
  4. Step 4: Simplify right side
    766.19x = 600,854.29
  5. Step 5: Solve for x
    x = 600,854.29/766.19
  6. Step 6: Final answer
    x = 784.22

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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.