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Finding the Fourth Proportional to 773.64, 1,159.86 and 253.32

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Solution

The fourth proportional to 773.64, 1,159.86 and 253.32 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,159.86 = 253.32 : x
  2. Step 2: Convert to fraction form
    773.64/1,159.86 = 253.32/x
  3. Step 3: Cross multiply
    773.64x = 1,159.86 × 253.32
  4. Step 4: Simplify right side
    773.64x = 293,815.74
  5. Step 5: Solve for x
    x = 293,815.74/773.64
  6. Step 6: Final answer
    x = 379.78

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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.