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Finding the Fourth Proportional to 772.89, 1,160.14 and 286.08

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Solution

The fourth proportional to 772.89, 1,160.14 and 286.08 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.89 : 1,160.14 = 286.08 : x
  2. Step 2: Convert to fraction form
    772.89/1,160.14 = 286.08/x
  3. Step 3: Cross multiply
    772.89x = 1,160.14 × 286.08
  4. Step 4: Simplify right side
    772.89x = 331,887.05
  5. Step 5: Solve for x
    x = 331,887.05/772.89
  6. Step 6: Final answer
    x = 429.41

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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.