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Finding the Fourth Proportional to 783.29, 1,175.07 and 235.41

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Solution

The fourth proportional to 783.29, 1,175.07 and 235.41 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.29 : 1,175.07 = 235.41 : x
  2. Step 2: Convert to fraction form
    783.29/1,175.07 = 235.41/x
  3. Step 3: Cross multiply
    783.29x = 1,175.07 × 235.41
  4. Step 4: Simplify right side
    783.29x = 276,623.23
  5. Step 5: Solve for x
    x = 276,623.23/783.29
  6. Step 6: Final answer
    x = 353.16

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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.