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Finding the Fourth Proportional to 774.68, 1,162.31 and 466.75

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Solution

The fourth proportional to 774.68, 1,162.31 and 466.75 is: 700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.68 : 1,162.31 = 466.75 : x
  2. Step 2: Convert to fraction form
    774.68/1,162.31 = 466.75/x
  3. Step 3: Cross multiply
    774.68x = 1,162.31 × 466.75
  4. Step 4: Simplify right side
    774.68x = 542,508.19
  5. Step 5: Solve for x
    x = 542,508.19/774.68
  6. Step 6: Final answer
    x = 700.30

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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.