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Finding the Fourth Proportional to 704.11, 1,055.97 and 473.18

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Solution

The fourth proportional to 704.11, 1,055.97 and 473.18 is: 709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.11 : 1,055.97 = 473.18 : x
  2. Step 2: Convert to fraction form
    704.11/1,055.97 = 473.18/x
  3. Step 3: Cross multiply
    704.11x = 1,055.97 × 473.18
  4. Step 4: Simplify right side
    704.11x = 499,663.88
  5. Step 5: Solve for x
    x = 499,663.88/704.11
  6. Step 6: Final answer
    x = 709.64

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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.