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Finding the Fourth Proportional to 903.41, 1,353.92 and 513.59

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Solution

The fourth proportional to 903.41, 1,353.92 and 513.59 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.41 : 1,353.92 = 513.59 : x
  2. Step 2: Convert to fraction form
    903.41/1,353.92 = 513.59/x
  3. Step 3: Cross multiply
    903.41x = 1,353.92 × 513.59
  4. Step 4: Simplify right side
    903.41x = 695,354.29
  5. Step 5: Solve for x
    x = 695,354.29/903.41
  6. Step 6: Final answer
    x = 769.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.