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Finding the Fourth Proportional to 906.82, 1,250.98 and 592.09

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Solution

The fourth proportional to 906.82, 1,250.98 and 592.09 is: 816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.82 : 1,250.98 = 592.09 : x
  2. Step 2: Convert to fraction form
    906.82/1,250.98 = 592.09/x
  3. Step 3: Cross multiply
    906.82x = 1,250.98 × 592.09
  4. Step 4: Simplify right side
    906.82x = 740,692.75
  5. Step 5: Solve for x
    x = 740,692.75/906.82
  6. Step 6: Final answer
    x = 816.80

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1.5x scale

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.