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Finding the Fourth Proportional to 784.58, 1,176.57 and 236.58

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Solution

The fourth proportional to 784.58, 1,176.57 and 236.58 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,176.57 = 236.58 : x
  2. Step 2: Convert to fraction form
    784.58/1,176.57 = 236.58/x
  3. Step 3: Cross multiply
    784.58x = 1,176.57 × 236.58
  4. Step 4: Simplify right side
    784.58x = 278,352.93
  5. Step 5: Solve for x
    x = 278,352.93/784.58
  6. Step 6: Final answer
    x = 354.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.