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Finding the Fourth Proportional to 783.85, 1,176.01 and 236.05

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Solution

The fourth proportional to 783.85, 1,176.01 and 236.05 is: 354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.85 : 1,176.01 = 236.05 : x
  2. Step 2: Convert to fraction form
    783.85/1,176.01 = 236.05/x
  3. Step 3: Cross multiply
    783.85x = 1,176.01 × 236.05
  4. Step 4: Simplify right side
    783.85x = 277,597.16
  5. Step 5: Solve for x
    x = 277,597.16/783.85
  6. Step 6: Final answer
    x = 354.15

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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.