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Finding the Fourth Proportional to 906.19, 1,250.84 and 587.25

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Solution

The fourth proportional to 906.19, 1,250.84 and 587.25 is: 810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,250.84 = 587.25 : x
  2. Step 2: Convert to fraction form
    906.19/1,250.84 = 587.25/x
  3. Step 3: Cross multiply
    906.19x = 1,250.84 × 587.25
  4. Step 4: Simplify right side
    906.19x = 734,557.26
  5. Step 5: Solve for x
    x = 734,557.26/906.19
  6. Step 6: Final answer
    x = 810.60

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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.