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Finding the Fourth Proportional to 1,097.48, 1,514.66 and 631.88

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Solution

The fourth proportional to 1,097.48, 1,514.66 and 631.88 is: 872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.48 : 1,514.66 = 631.88 : x
  2. Step 2: Convert to fraction form
    1,097.48/1,514.66 = 631.88/x
  3. Step 3: Cross multiply
    1,097.48x = 1,514.66 × 631.88
  4. Step 4: Simplify right side
    1,097.48x = 957,083.36
  5. Step 5: Solve for x
    x = 957,083.36/1,097.48
  6. Step 6: Final answer
    x = 872.07

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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.