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Finding the Fourth Proportional to 1,097.76, 1,514.85 and 600.31

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Solution

The fourth proportional to 1,097.76, 1,514.85 and 600.31 is: 828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.76 : 1,514.85 = 600.31 : x
  2. Step 2: Convert to fraction form
    1,097.76/1,514.85 = 600.31/x
  3. Step 3: Cross multiply
    1,097.76x = 1,514.85 × 600.31
  4. Step 4: Simplify right side
    1,097.76x = 909,375.82
  5. Step 5: Solve for x
    x = 909,375.82/1,097.76
  6. Step 6: Final answer
    x = 828.39

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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.