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Finding the Fourth Proportional to 905.78, 1,250.04 and 512.84

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Solution

The fourth proportional to 905.78, 1,250.04 and 512.84 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,250.04 = 512.84 : x
  2. Step 2: Convert to fraction form
    905.78/1,250.04 = 512.84/x
  3. Step 3: Cross multiply
    905.78x = 1,250.04 × 512.84
  4. Step 4: Simplify right side
    905.78x = 641,070.51
  5. Step 5: Solve for x
    x = 641,070.51/905.78
  6. Step 6: Final answer
    x = 707.76

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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.