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Finding the Fourth Proportional to 784.46, 1,174.94 and 609.78

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Solution

The fourth proportional to 784.46, 1,174.94 and 609.78 is: 913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,174.94 = 609.78 : x
  2. Step 2: Convert to fraction form
    784.46/1,174.94 = 609.78/x
  3. Step 3: Cross multiply
    784.46x = 1,174.94 × 609.78
  4. Step 4: Simplify right side
    784.46x = 716,454.91
  5. Step 5: Solve for x
    x = 716,454.91/784.46
  6. Step 6: Final answer
    x = 913.31

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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.