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Finding the Fourth Proportional to 772.67, 1,159.10 and 286.13

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Solution

The fourth proportional to 772.67, 1,159.10 and 286.13 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.67 : 1,159.10 = 286.13 : x
  2. Step 2: Convert to fraction form
    772.67/1,159.10 = 286.13/x
  3. Step 3: Cross multiply
    772.67x = 1,159.10 × 286.13
  4. Step 4: Simplify right side
    772.67x = 331,653.28
  5. Step 5: Solve for x
    x = 331,653.28/772.67
  6. Step 6: Final answer
    x = 429.23

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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.