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Finding the Fourth Proportional to 773.54, 1,160 and 253.42

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Solution

The fourth proportional to 773.54, 1,160 and 253.42 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,160 = 253.42 : x
  2. Step 2: Convert to fraction form
    773.54/1,160 = 253.42/x
  3. Step 3: Cross multiply
    773.54x = 1,160 × 253.42
  4. Step 4: Simplify right side
    773.54x = 293,967.20
  5. Step 5: Solve for x
    x = 293,967.20/773.54
  6. Step 6: Final answer
    x = 380.03

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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.