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Finding the Fourth Proportional to 1,097.04, 1,514.10 and 742.92

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Solution

The fourth proportional to 1,097.04, 1,514.10 and 742.92 is: 1,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,514.10 = 742.92 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,514.10 = 742.92/x
  3. Step 3: Cross multiply
    1,097.04x = 1,514.10 × 742.92
  4. Step 4: Simplify right side
    1,097.04x = 1,124,855.17
  5. Step 5: Solve for x
    x = 1,124,855.17/1,097.04
  6. Step 6: Final answer
    x = 1,025.35

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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.