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Finding the Fourth Proportional to 774.62, 1,162.38 and 312.60

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Solution

The fourth proportional to 774.62, 1,162.38 and 312.60 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.62 : 1,162.38 = 312.60 : x
  2. Step 2: Convert to fraction form
    774.62/1,162.38 = 312.60/x
  3. Step 3: Cross multiply
    774.62x = 1,162.38 × 312.60
  4. Step 4: Simplify right side
    774.62x = 363,359.99
  5. Step 5: Solve for x
    x = 363,359.99/774.62
  6. Step 6: Final answer
    x = 469.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.