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Finding the Fourth Proportional to 1,097.02, 1,514.64 and 844.52

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Solution

The fourth proportional to 1,097.02, 1,514.64 and 844.52 is: 1,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.02 : 1,514.64 = 844.52 : x
  2. Step 2: Convert to fraction form
    1,097.02/1,514.64 = 844.52/x
  3. Step 3: Cross multiply
    1,097.02x = 1,514.64 × 844.52
  4. Step 4: Simplify right side
    1,097.02x = 1,279,143.77
  5. Step 5: Solve for x
    x = 1,279,143.77/1,097.02
  6. Step 6: Final answer
    x = 1,166.02

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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.