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Finding the Fourth Proportional to 774.16, 1,160.71 and 286.95

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Solution

The fourth proportional to 774.16, 1,160.71 and 286.95 is: 430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,160.71 = 286.95 : x
  2. Step 2: Convert to fraction form
    774.16/1,160.71 = 286.95/x
  3. Step 3: Cross multiply
    774.16x = 1,160.71 × 286.95
  4. Step 4: Simplify right side
    774.16x = 333,065.73
  5. Step 5: Solve for x
    x = 333,065.73/774.16
  6. Step 6: Final answer
    x = 430.23

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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.