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Finding the Fourth Proportional to 784.10, 1,175.64 and 338.84

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Solution

The fourth proportional to 784.10, 1,175.64 and 338.84 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,175.64 = 338.84 : x
  2. Step 2: Convert to fraction form
    784.10/1,175.64 = 338.84/x
  3. Step 3: Cross multiply
    784.10x = 1,175.64 × 338.84
  4. Step 4: Simplify right side
    784.10x = 398,353.86
  5. Step 5: Solve for x
    x = 398,353.86/784.10
  6. Step 6: Final answer
    x = 508.04

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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.