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Finding the Fourth Proportional to 905.43, 1,248.90 and 656.07

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Solution

The fourth proportional to 905.43, 1,248.90 and 656.07 is: 904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.43 : 1,248.90 = 656.07 : x
  2. Step 2: Convert to fraction form
    905.43/1,248.90 = 656.07/x
  3. Step 3: Cross multiply
    905.43x = 1,248.90 × 656.07
  4. Step 4: Simplify right side
    905.43x = 819,365.82
  5. Step 5: Solve for x
    x = 819,365.82/905.43
  6. Step 6: Final answer
    x = 904.95

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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.