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Finding the Fourth Proportional to 913.59, 1,369.14 and 753.21

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Solution

The fourth proportional to 913.59, 1,369.14 and 753.21 is: 1,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.59 : 1,369.14 = 753.21 : x
  2. Step 2: Convert to fraction form
    913.59/1,369.14 = 753.21/x
  3. Step 3: Cross multiply
    913.59x = 1,369.14 × 753.21
  4. Step 4: Simplify right side
    913.59x = 1,031,249.94
  5. Step 5: Solve for x
    x = 1,031,249.94/913.59
  6. Step 6: Final answer
    x = 1,128.79

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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.