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Finding the Fourth Proportional to 901.43, 1,350.89 and 505.76

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Solution

The fourth proportional to 901.43, 1,350.89 and 505.76 is: 757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.43 : 1,350.89 = 505.76 : x
  2. Step 2: Convert to fraction form
    901.43/1,350.89 = 505.76/x
  3. Step 3: Cross multiply
    901.43x = 1,350.89 × 505.76
  4. Step 4: Simplify right side
    901.43x = 683,226.13
  5. Step 5: Solve for x
    x = 683,226.13/901.43
  6. Step 6: Final answer
    x = 757.94

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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.