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Finding the Fourth Proportional to 780.60, 1,171.08 and 232.77

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Solution

The fourth proportional to 780.60, 1,171.08 and 232.77 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.60 : 1,171.08 = 232.77 : x
  2. Step 2: Convert to fraction form
    780.60/1,171.08 = 232.77/x
  3. Step 3: Cross multiply
    780.60x = 1,171.08 × 232.77
  4. Step 4: Simplify right side
    780.60x = 272,592.29
  5. Step 5: Solve for x
    x = 272,592.29/780.60
  6. Step 6: Final answer
    x = 349.21

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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.