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Finding the Fourth Proportional to 773.02, 1,159.89 and 286.24

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Solution

The fourth proportional to 773.02, 1,159.89 and 286.24 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,159.89 = 286.24 : x
  2. Step 2: Convert to fraction form
    773.02/1,159.89 = 286.24/x
  3. Step 3: Cross multiply
    773.02x = 1,159.89 × 286.24
  4. Step 4: Simplify right side
    773.02x = 332,006.91
  5. Step 5: Solve for x
    x = 332,006.91/773.02
  6. Step 6: Final answer
    x = 429.49

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1.5x scale

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.