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Finding the Fourth Proportional to 903.58, 1,353.95 and 538.17

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Solution

The fourth proportional to 903.58, 1,353.95 and 538.17 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.58 : 1,353.95 = 538.17 : x
  2. Step 2: Convert to fraction form
    903.58/1,353.95 = 538.17/x
  3. Step 3: Cross multiply
    903.58x = 1,353.95 × 538.17
  4. Step 4: Simplify right side
    903.58x = 728,649.52
  5. Step 5: Solve for x
    x = 728,649.52/903.58
  6. Step 6: Final answer
    x = 806.41

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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.