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Finding the Fourth Proportional to 901.76, 1,350.00 and 815.29

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Solution

The fourth proportional to 901.76, 1,350.00 and 815.29 is: 1,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,350.00 = 815.29 : x
  2. Step 2: Convert to fraction form
    901.76/1,350.00 = 815.29/x
  3. Step 3: Cross multiply
    901.76x = 1,350.00 × 815.29
  4. Step 4: Simplify right side
    901.76x = 1,100,646.24
  5. Step 5: Solve for x
    x = 1,100,646.24/901.76
  6. Step 6: Final answer
    x = 1,220.56

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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.