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Finding the Fourth Proportional to 1,097.88, 1,514.34 and 749.04

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Solution

The fourth proportional to 1,097.88, 1,514.34 and 749.04 is: 1,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.88 : 1,514.34 = 749.04 : x
  2. Step 2: Convert to fraction form
    1,097.88/1,514.34 = 749.04/x
  3. Step 3: Cross multiply
    1,097.88x = 1,514.34 × 749.04
  4. Step 4: Simplify right side
    1,097.88x = 1,134,301.23
  5. Step 5: Solve for x
    x = 1,134,301.23/1,097.88
  6. Step 6: Final answer
    x = 1,033.17

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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.