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Finding the Fourth Proportional to 775.25, 1,162.88 and 582.66

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Solution

The fourth proportional to 775.25, 1,162.88 and 582.66 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.25 : 1,162.88 = 582.66 : x
  2. Step 2: Convert to fraction form
    775.25/1,162.88 = 582.66/x
  3. Step 3: Cross multiply
    775.25x = 1,162.88 × 582.66
  4. Step 4: Simplify right side
    775.25x = 677,560.75
  5. Step 5: Solve for x
    x = 677,560.75/775.25
  6. Step 6: Final answer
    x = 874.00

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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.