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Finding the Fourth Proportional to 1,528.31, 2,294.09 and 663.23

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Solution

The fourth proportional to 1,528.31, 2,294.09 and 663.23 is: 995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.31 : 2,294.09 = 663.23 : x
  2. Step 2: Convert to fraction form
    1,528.31/2,294.09 = 663.23/x
  3. Step 3: Cross multiply
    1,528.31x = 2,294.09 × 663.23
  4. Step 4: Simplify right side
    1,528.31x = 1,521,509.31
  5. Step 5: Solve for x
    x = 1,521,509.31/1,528.31
  6. Step 6: Final answer
    x = 995.55

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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.