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Finding the Fourth Proportional to 1,324.05, 1,984.25 and 592.31

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Solution

The fourth proportional to 1,324.05, 1,984.25 and 592.31 is: 887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.05 : 1,984.25 = 592.31 : x
  2. Step 2: Convert to fraction form
    1,324.05/1,984.25 = 592.31/x
  3. Step 3: Cross multiply
    1,324.05x = 1,984.25 × 592.31
  4. Step 4: Simplify right side
    1,324.05x = 1,175,294.23
  5. Step 5: Solve for x
    x = 1,175,294.23/1,324.05
  6. Step 6: Final answer
    x = 887.65

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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.