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Finding the Fourth Proportional to 694.19, 1,041.35 and 523.14

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Solution

The fourth proportional to 694.19, 1,041.35 and 523.14 is: 784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 1,041.35 = 523.14 : x
  2. Step 2: Convert to fraction form
    694.19/1,041.35 = 523.14/x
  3. Step 3: Cross multiply
    694.19x = 1,041.35 × 523.14
  4. Step 4: Simplify right side
    694.19x = 544,769.22
  5. Step 5: Solve for x
    x = 544,769.22/694.19
  6. Step 6: Final answer
    x = 784.76

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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.