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Finding the Fourth Proportional to 905.84, 1,250.16 and 556.52

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Solution

The fourth proportional to 905.84, 1,250.16 and 556.52 is: 768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,250.16 = 556.52 : x
  2. Step 2: Convert to fraction form
    905.84/1,250.16 = 556.52/x
  3. Step 3: Cross multiply
    905.84x = 1,250.16 × 556.52
  4. Step 4: Simplify right side
    905.84x = 695,739.04
  5. Step 5: Solve for x
    x = 695,739.04/905.84
  6. Step 6: Final answer
    x = 768.06

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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.