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Finding the Fourth Proportional to 1,097.40, 1,514.41 and 600.03

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Solution

The fourth proportional to 1,097.40, 1,514.41 and 600.03 is: 828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,514.41 = 600.03 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,514.41 = 600.03/x
  3. Step 3: Cross multiply
    1,097.40x = 1,514.41 × 600.03
  4. Step 4: Simplify right side
    1,097.40x = 908,691.43
  5. Step 5: Solve for x
    x = 908,691.43/1,097.40
  6. Step 6: Final answer
    x = 828.04

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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.