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Finding the Fourth Proportional to 783.96, 1,176.09 and 236.19

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Solution

The fourth proportional to 783.96, 1,176.09 and 236.19 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,176.09 = 236.19 : x
  2. Step 2: Convert to fraction form
    783.96/1,176.09 = 236.19/x
  3. Step 3: Cross multiply
    783.96x = 1,176.09 × 236.19
  4. Step 4: Simplify right side
    783.96x = 277,774.82
  5. Step 5: Solve for x
    x = 277,774.82/783.96
  6. Step 6: Final answer
    x = 354.32

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Double scale
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1.5x scale

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.