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Finding the Fourth Proportional to 910.44, 1,256.46 and 561.24

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Solution

The fourth proportional to 910.44, 1,256.46 and 561.24 is: 774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.44 : 1,256.46 = 561.24 : x
  2. Step 2: Convert to fraction form
    910.44/1,256.46 = 561.24/x
  3. Step 3: Cross multiply
    910.44x = 1,256.46 × 561.24
  4. Step 4: Simplify right side
    910.44x = 705,175.61
  5. Step 5: Solve for x
    x = 705,175.61/910.44
  6. Step 6: Final answer
    x = 774.54

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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.