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Finding the Fourth Proportional to 774.01, 1,160.25 and 286.93

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Solution

The fourth proportional to 774.01, 1,160.25 and 286.93 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.01 : 1,160.25 = 286.93 : x
  2. Step 2: Convert to fraction form
    774.01/1,160.25 = 286.93/x
  3. Step 3: Cross multiply
    774.01x = 1,160.25 × 286.93
  4. Step 4: Simplify right side
    774.01x = 332,910.53
  5. Step 5: Solve for x
    x = 332,910.53/774.01
  6. Step 6: Final answer
    x = 430.11

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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.