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Finding the Fourth Proportional to 903.34, 1,353.83 and 513.19

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Solution

The fourth proportional to 903.34, 1,353.83 and 513.19 is: 769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.34 : 1,353.83 = 513.19 : x
  2. Step 2: Convert to fraction form
    903.34/1,353.83 = 513.19/x
  3. Step 3: Cross multiply
    903.34x = 1,353.83 × 513.19
  4. Step 4: Simplify right side
    903.34x = 694,772.02
  5. Step 5: Solve for x
    x = 694,772.02/903.34
  6. Step 6: Final answer
    x = 769.11

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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.