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Finding the Fourth Proportional to 906.99, 1,251.63 and 612.32

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Solution

The fourth proportional to 906.99, 1,251.63 and 612.32 is: 844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.99 : 1,251.63 = 612.32 : x
  2. Step 2: Convert to fraction form
    906.99/1,251.63 = 612.32/x
  3. Step 3: Cross multiply
    906.99x = 1,251.63 × 612.32
  4. Step 4: Simplify right side
    906.99x = 766,391.82
  5. Step 5: Solve for x
    x = 766,391.82/906.99
  6. Step 6: Final answer
    x = 844.98

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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.