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Finding the Fourth Proportional to 1,097.71, 1,514.99 and 678.27

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Solution

The fourth proportional to 1,097.71, 1,514.99 and 678.27 is: 936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.71 : 1,514.99 = 678.27 : x
  2. Step 2: Convert to fraction form
    1,097.71/1,514.99 = 678.27/x
  3. Step 3: Cross multiply
    1,097.71x = 1,514.99 × 678.27
  4. Step 4: Simplify right side
    1,097.71x = 1,027,565.09
  5. Step 5: Solve for x
    x = 1,027,565.09/1,097.71
  6. Step 6: Final answer
    x = 936.10

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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.