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Finding the Fourth Proportional to 774.52, 1,162.24 and 312.24

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Solution

The fourth proportional to 774.52, 1,162.24 and 312.24 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.52 : 1,162.24 = 312.24 : x
  2. Step 2: Convert to fraction form
    774.52/1,162.24 = 312.24/x
  3. Step 3: Cross multiply
    774.52x = 1,162.24 × 312.24
  4. Step 4: Simplify right side
    774.52x = 362,897.82
  5. Step 5: Solve for x
    x = 362,897.82/774.52
  6. Step 6: Final answer
    x = 468.55

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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.