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Finding the Fourth Proportional to 774.76, 1,162.66 and 288.20

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Solution

The fourth proportional to 774.76, 1,162.66 and 288.20 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.76 : 1,162.66 = 288.20 : x
  2. Step 2: Convert to fraction form
    774.76/1,162.66 = 288.20/x
  3. Step 3: Cross multiply
    774.76x = 1,162.66 × 288.20
  4. Step 4: Simplify right side
    774.76x = 335,078.61
  5. Step 5: Solve for x
    x = 335,078.61/774.76
  6. Step 6: Final answer
    x = 432.49

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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.