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Finding the Fourth Proportional to 776.04, 1,162.19 and 467.13

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Solution

The fourth proportional to 776.04, 1,162.19 and 467.13 is: 699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.04 : 1,162.19 = 467.13 : x
  2. Step 2: Convert to fraction form
    776.04/1,162.19 = 467.13/x
  3. Step 3: Cross multiply
    776.04x = 1,162.19 × 467.13
  4. Step 4: Simplify right side
    776.04x = 542,891.15
  5. Step 5: Solve for x
    x = 542,891.15/776.04
  6. Step 6: Final answer
    x = 699.56

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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.