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Finding the Fourth Proportional to 766.10, 1,147.94 and 582.93

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Solution

The fourth proportional to 766.10, 1,147.94 and 582.93 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.10 : 1,147.94 = 582.93 : x
  2. Step 2: Convert to fraction form
    766.10/1,147.94 = 582.93/x
  3. Step 3: Cross multiply
    766.10x = 1,147.94 × 582.93
  4. Step 4: Simplify right side
    766.10x = 669,165.75
  5. Step 5: Solve for x
    x = 669,165.75/766.10
  6. Step 6: Final answer
    x = 873.48

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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.