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Finding the Fourth Proportional to 785.51, 1,178.27 and 258.41

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Solution

The fourth proportional to 785.51, 1,178.27 and 258.41 is: 387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.51 : 1,178.27 = 258.41 : x
  2. Step 2: Convert to fraction form
    785.51/1,178.27 = 258.41/x
  3. Step 3: Cross multiply
    785.51x = 1,178.27 × 258.41
  4. Step 4: Simplify right side
    785.51x = 304,476.75
  5. Step 5: Solve for x
    x = 304,476.75/785.51
  6. Step 6: Final answer
    x = 387.62

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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.