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Finding the Fourth Proportional to 906.19, 1,359.29 and 474.19

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Solution

The fourth proportional to 906.19, 1,359.29 and 474.19 is: 711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,359.29 = 474.19 : x
  2. Step 2: Convert to fraction form
    906.19/1,359.29 = 474.19/x
  3. Step 3: Cross multiply
    906.19x = 1,359.29 × 474.19
  4. Step 4: Simplify right side
    906.19x = 644,561.73
  5. Step 5: Solve for x
    x = 644,561.73/906.19
  6. Step 6: Final answer
    x = 711.29

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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.