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Finding the Fourth Proportional to 913.39, 1,369.96 and 522.12

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Solution

The fourth proportional to 913.39, 1,369.96 and 522.12 is: 783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.39 : 1,369.96 = 522.12 : x
  2. Step 2: Convert to fraction form
    913.39/1,369.96 = 522.12/x
  3. Step 3: Cross multiply
    913.39x = 1,369.96 × 522.12
  4. Step 4: Simplify right side
    913.39x = 715,274.05
  5. Step 5: Solve for x
    x = 715,274.05/913.39
  6. Step 6: Final answer
    x = 783.10

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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.