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Finding the Fourth Proportional to 761.07, 1,049.67 and 499.03

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Solution

The fourth proportional to 761.07, 1,049.67 and 499.03 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.07 : 1,049.67 = 499.03 : x
  2. Step 2: Convert to fraction form
    761.07/1,049.67 = 499.03/x
  3. Step 3: Cross multiply
    761.07x = 1,049.67 × 499.03
  4. Step 4: Simplify right side
    761.07x = 523,820.69
  5. Step 5: Solve for x
    x = 523,820.69/761.07
  6. Step 6: Final answer
    x = 688.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.