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Finding the Fourth Proportional to 772.61, 1,159.32 and 310.44

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Solution

The fourth proportional to 772.61, 1,159.32 and 310.44 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,159.32 = 310.44 : x
  2. Step 2: Convert to fraction form
    772.61/1,159.32 = 310.44/x
  3. Step 3: Cross multiply
    772.61x = 1,159.32 × 310.44
  4. Step 4: Simplify right side
    772.61x = 359,900.46
  5. Step 5: Solve for x
    x = 359,900.46/772.61
  6. Step 6: Final answer
    x = 465.82

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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.