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Finding the Fourth Proportional to 1,097.82, 1,514.57 and 655.29

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Solution

The fourth proportional to 1,097.82, 1,514.57 and 655.29 is: 904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.82 : 1,514.57 = 655.29 : x
  2. Step 2: Convert to fraction form
    1,097.82/1,514.57 = 655.29/x
  3. Step 3: Cross multiply
    1,097.82x = 1,514.57 × 655.29
  4. Step 4: Simplify right side
    1,097.82x = 992,479.30
  5. Step 5: Solve for x
    x = 992,479.30/1,097.82
  6. Step 6: Final answer
    x = 904.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.