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Finding the Fourth Proportional to 694.04, 1,041.76 and 499.27

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Solution

The fourth proportional to 694.04, 1,041.76 and 499.27 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.04 : 1,041.76 = 499.27 : x
  2. Step 2: Convert to fraction form
    694.04/1,041.76 = 499.27/x
  3. Step 3: Cross multiply
    694.04x = 1,041.76 × 499.27
  4. Step 4: Simplify right side
    694.04x = 520,119.52
  5. Step 5: Solve for x
    x = 520,119.52/694.04
  6. Step 6: Final answer
    x = 749.41

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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.