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Finding the Fourth Proportional to 1,097.49, 1,514.60 and 625.53

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Solution

The fourth proportional to 1,097.49, 1,514.60 and 625.53 is: 863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.49 : 1,514.60 = 625.53 : x
  2. Step 2: Convert to fraction form
    1,097.49/1,514.60 = 625.53/x
  3. Step 3: Cross multiply
    1,097.49x = 1,514.60 × 625.53
  4. Step 4: Simplify right side
    1,097.49x = 947,427.74
  5. Step 5: Solve for x
    x = 947,427.74/1,097.49
  6. Step 6: Final answer
    x = 863.27

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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.