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Finding the Fourth Proportional to 903.37, 1,353.90 and 491.63

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Solution

The fourth proportional to 903.37, 1,353.90 and 491.63 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.37 : 1,353.90 = 491.63 : x
  2. Step 2: Convert to fraction form
    903.37/1,353.90 = 491.63/x
  3. Step 3: Cross multiply
    903.37x = 1,353.90 × 491.63
  4. Step 4: Simplify right side
    903.37x = 665,617.86
  5. Step 5: Solve for x
    x = 665,617.86/903.37
  6. Step 6: Final answer
    x = 736.82

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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.