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Finding the Fourth Proportional to 774.23, 1,160.87 and 286.88

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Solution

The fourth proportional to 774.23, 1,160.87 and 286.88 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,160.87 = 286.88 : x
  2. Step 2: Convert to fraction form
    774.23/1,160.87 = 286.88/x
  3. Step 3: Cross multiply
    774.23x = 1,160.87 × 286.88
  4. Step 4: Simplify right side
    774.23x = 333,023.15
  5. Step 5: Solve for x
    x = 333,023.15/774.23
  6. Step 6: Final answer
    x = 430.14

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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.