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Finding the Fourth Proportional to 1,097.53, 1,514.95 and 873.88

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Solution

The fourth proportional to 1,097.53, 1,514.95 and 873.88 is: 1,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.53 : 1,514.95 = 873.88 : x
  2. Step 2: Convert to fraction form
    1,097.53/1,514.95 = 873.88/x
  3. Step 3: Cross multiply
    1,097.53x = 1,514.95 × 873.88
  4. Step 4: Simplify right side
    1,097.53x = 1,323,876.93
  5. Step 5: Solve for x
    x = 1,323,876.93/1,097.53
  6. Step 6: Final answer
    x = 1,206.23

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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.