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Finding the Fourth Proportional to 910.50, 1,256.47 and 556.56

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Solution

The fourth proportional to 910.50, 1,256.47 and 556.56 is: 768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,256.47 = 556.56 : x
  2. Step 2: Convert to fraction form
    910.50/1,256.47 = 556.56/x
  3. Step 3: Cross multiply
    910.50x = 1,256.47 × 556.56
  4. Step 4: Simplify right side
    910.50x = 699,300.94
  5. Step 5: Solve for x
    x = 699,300.94/910.50
  6. Step 6: Final answer
    x = 768.04

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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.