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Finding the Fourth Proportional to 1,097.62, 1,514.28 and 782.80

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Solution

The fourth proportional to 1,097.62, 1,514.28 and 782.80 is: 1,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.62 : 1,514.28 = 782.80 : x
  2. Step 2: Convert to fraction form
    1,097.62/1,514.28 = 782.80/x
  3. Step 3: Cross multiply
    1,097.62x = 1,514.28 × 782.80
  4. Step 4: Simplify right side
    1,097.62x = 1,185,378.38
  5. Step 5: Solve for x
    x = 1,185,378.38/1,097.62
  6. Step 6: Final answer
    x = 1,079.95

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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.