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Finding the Fourth Proportional to 1,097.54, 1,514.70 and 600.25

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Solution

The fourth proportional to 1,097.54, 1,514.70 and 600.25 is: 828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.54 : 1,514.70 = 600.25 : x
  2. Step 2: Convert to fraction form
    1,097.54/1,514.70 = 600.25/x
  3. Step 3: Cross multiply
    1,097.54x = 1,514.70 × 600.25
  4. Step 4: Simplify right side
    1,097.54x = 909,191.10
  5. Step 5: Solve for x
    x = 909,191.10/1,097.54
  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.