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Finding the Fourth Proportional to 903.08, 1,246.46 and 571.95

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Solution

The fourth proportional to 903.08, 1,246.46 and 571.95 is: 789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.08 : 1,246.46 = 571.95 : x
  2. Step 2: Convert to fraction form
    903.08/1,246.46 = 571.95/x
  3. Step 3: Cross multiply
    903.08x = 1,246.46 × 571.95
  4. Step 4: Simplify right side
    903.08x = 712,909.94
  5. Step 5: Solve for x
    x = 712,909.94/903.08
  6. Step 6: Final answer
    x = 789.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.