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Finding the Fourth Proportional to 783.74, 1,175.20 and 235.78

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Solution

The fourth proportional to 783.74, 1,175.20 and 235.78 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.74 : 1,175.20 = 235.78 : x
  2. Step 2: Convert to fraction form
    783.74/1,175.20 = 235.78/x
  3. Step 3: Cross multiply
    783.74x = 1,175.20 × 235.78
  4. Step 4: Simplify right side
    783.74x = 277,085.13
  5. Step 5: Solve for x
    x = 277,085.13/783.74
  6. Step 6: Final answer
    x = 353.54

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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.