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Finding the Fourth Proportional to 775.61, 1,162.82 and 467.39

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Solution

The fourth proportional to 775.61, 1,162.82 and 467.39 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.61 : 1,162.82 = 467.39 : x
  2. Step 2: Convert to fraction form
    775.61/1,162.82 = 467.39/x
  3. Step 3: Cross multiply
    775.61x = 1,162.82 × 467.39
  4. Step 4: Simplify right side
    775.61x = 543,482.29
  5. Step 5: Solve for x
    x = 543,482.29/775.61
  6. Step 6: Final answer
    x = 700.72

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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.