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Finding the Fourth Proportional to 1,532.43, 2,299.03 and 492.53

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Solution

The fourth proportional to 1,532.43, 2,299.03 and 492.53 is: 738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.43 : 2,299.03 = 492.53 : x
  2. Step 2: Convert to fraction form
    1,532.43/2,299.03 = 492.53/x
  3. Step 3: Cross multiply
    1,532.43x = 2,299.03 × 492.53
  4. Step 4: Simplify right side
    1,532.43x = 1,132,341.25
  5. Step 5: Solve for x
    x = 1,132,341.25/1,532.43
  6. Step 6: Final answer
    x = 738.92

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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.