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Finding the Fourth Proportional to 773.45, 1,158.62 and 465.13

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Solution

The fourth proportional to 773.45, 1,158.62 and 465.13 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,158.62 = 465.13 : x
  2. Step 2: Convert to fraction form
    773.45/1,158.62 = 465.13/x
  3. Step 3: Cross multiply
    773.45x = 1,158.62 × 465.13
  4. Step 4: Simplify right side
    773.45x = 538,908.05
  5. Step 5: Solve for x
    x = 538,908.05/773.45
  6. Step 6: Final answer
    x = 696.76

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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.