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Finding the Fourth Proportional to 906.66, 1,250.93 and 575.24

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Solution

The fourth proportional to 906.66, 1,250.93 and 575.24 is: 793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.66 : 1,250.93 = 575.24 : x
  2. Step 2: Convert to fraction form
    906.66/1,250.93 = 575.24/x
  3. Step 3: Cross multiply
    906.66x = 1,250.93 × 575.24
  4. Step 4: Simplify right side
    906.66x = 719,575.84
  5. Step 5: Solve for x
    x = 719,575.84/906.66
  6. Step 6: Final answer
    x = 793.66

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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.