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Finding the Fourth Proportional to 773.16, 1,159.74 and 286.08

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Solution

The fourth proportional to 773.16, 1,159.74 and 286.08 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.16 : 1,159.74 = 286.08 : x
  2. Step 2: Convert to fraction form
    773.16/1,159.74 = 286.08/x
  3. Step 3: Cross multiply
    773.16x = 1,159.74 × 286.08
  4. Step 4: Simplify right side
    773.16x = 331,778.42
  5. Step 5: Solve for x
    x = 331,778.42/773.16
  6. Step 6: Final answer
    x = 429.12

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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.