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Finding the Fourth Proportional to 772.93, 1,159.89 and 310.63

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Solution

The fourth proportional to 772.93, 1,159.89 and 310.63 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.93 : 1,159.89 = 310.63 : x
  2. Step 2: Convert to fraction form
    772.93/1,159.89 = 310.63/x
  3. Step 3: Cross multiply
    772.93x = 1,159.89 × 310.63
  4. Step 4: Simplify right side
    772.93x = 360,296.63
  5. Step 5: Solve for x
    x = 360,296.63/772.93
  6. Step 6: Final answer
    x = 466.14

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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.