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Finding the Fourth Proportional to 773.05, 1,159.76 and 253.06

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Solution

The fourth proportional to 773.05, 1,159.76 and 253.06 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.05 : 1,159.76 = 253.06 : x
  2. Step 2: Convert to fraction form
    773.05/1,159.76 = 253.06/x
  3. Step 3: Cross multiply
    773.05x = 1,159.76 × 253.06
  4. Step 4: Simplify right side
    773.05x = 293,488.87
  5. Step 5: Solve for x
    x = 293,488.87/773.05
  6. Step 6: Final answer
    x = 379.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.