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Finding the Fourth Proportional to 774.84, 1,162.10 and 261.72

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Solution

The fourth proportional to 774.84, 1,162.10 and 261.72 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,162.10 = 261.72 : x
  2. Step 2: Convert to fraction form
    774.84/1,162.10 = 261.72/x
  3. Step 3: Cross multiply
    774.84x = 1,162.10 × 261.72
  4. Step 4: Simplify right side
    774.84x = 304,144.81
  5. Step 5: Solve for x
    x = 304,144.81/774.84
  6. Step 6: Final answer
    x = 392.53

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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.