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Finding the Fourth Proportional to 783.91, 1,176.02 and 236.08

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Solution

The fourth proportional to 783.91, 1,176.02 and 236.08 is: 354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.91 : 1,176.02 = 236.08 : x
  2. Step 2: Convert to fraction form
    783.91/1,176.02 = 236.08/x
  3. Step 3: Cross multiply
    783.91x = 1,176.02 × 236.08
  4. Step 4: Simplify right side
    783.91x = 277,634.80
  5. Step 5: Solve for x
    x = 277,634.80/783.91
  6. Step 6: Final answer
    x = 354.17

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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.