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Finding the Fourth Proportional to 772.06, 1,158.18 and 309.82

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Solution

The fourth proportional to 772.06, 1,158.18 and 309.82 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.06 : 1,158.18 = 309.82 : x
  2. Step 2: Convert to fraction form
    772.06/1,158.18 = 309.82/x
  3. Step 3: Cross multiply
    772.06x = 1,158.18 × 309.82
  4. Step 4: Simplify right side
    772.06x = 358,827.33
  5. Step 5: Solve for x
    x = 358,827.33/772.06
  6. Step 6: Final answer
    x = 464.77

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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.