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Finding the Fourth Proportional to 784.48, 1,176.63 and 199.48

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Solution

The fourth proportional to 784.48, 1,176.63 and 199.48 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.48 : 1,176.63 = 199.48 : x
  2. Step 2: Convert to fraction form
    784.48/1,176.63 = 199.48/x
  3. Step 3: Cross multiply
    784.48x = 1,176.63 × 199.48
  4. Step 4: Simplify right side
    784.48x = 234,714.15
  5. Step 5: Solve for x
    x = 234,714.15/784.48
  6. Step 6: Final answer
    x = 299.20

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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.