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Finding the Fourth Proportional to 1,097.16, 1,514.34 and 655.26

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Solution

The fourth proportional to 1,097.16, 1,514.34 and 655.26 is: 904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.16 : 1,514.34 = 655.26 : x
  2. Step 2: Convert to fraction form
    1,097.16/1,514.34 = 655.26/x
  3. Step 3: Cross multiply
    1,097.16x = 1,514.34 × 655.26
  4. Step 4: Simplify right side
    1,097.16x = 992,286.43
  5. Step 5: Solve for x
    x = 992,286.43/1,097.16
  6. Step 6: Final answer
    x = 904.41

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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.