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Finding the Fourth Proportional to 1,097.68, 1,514.35 and 649.49

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Solution

The fourth proportional to 1,097.68, 1,514.35 and 649.49 is: 896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.68 : 1,514.35 = 649.49 : x
  2. Step 2: Convert to fraction form
    1,097.68/1,514.35 = 649.49/x
  3. Step 3: Cross multiply
    1,097.68x = 1,514.35 × 649.49
  4. Step 4: Simplify right side
    1,097.68x = 983,557.55
  5. Step 5: Solve for x
    x = 983,557.55/1,097.68
  6. Step 6: Final answer
    x = 896.04

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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.