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Finding the Fourth Proportional to 906.18, 1,356.83 and 472.42

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Solution

The fourth proportional to 906.18, 1,356.83 and 472.42 is: 707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.18 : 1,356.83 = 472.42 : x
  2. Step 2: Convert to fraction form
    906.18/1,356.83 = 472.42/x
  3. Step 3: Cross multiply
    906.18x = 1,356.83 × 472.42
  4. Step 4: Simplify right side
    906.18x = 640,993.63
  5. Step 5: Solve for x
    x = 640,993.63/906.18
  6. Step 6: Final answer
    x = 707.36

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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.