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Finding the Fourth Proportional to 910.65, 1,256.31 and 556.59

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Solution

The fourth proportional to 910.65, 1,256.31 and 556.59 is: 767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.65 : 1,256.31 = 556.59 : x
  2. Step 2: Convert to fraction form
    910.65/1,256.31 = 556.59/x
  3. Step 3: Cross multiply
    910.65x = 1,256.31 × 556.59
  4. Step 4: Simplify right side
    910.65x = 699,249.58
  5. Step 5: Solve for x
    x = 699,249.58/910.65
  6. Step 6: Final answer
    x = 767.86

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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.