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Finding the Fourth Proportional to 1,097.41, 1,514.23 and 655.24

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Solution

The fourth proportional to 1,097.41, 1,514.23 and 655.24 is: 904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.41 : 1,514.23 = 655.24 : x
  2. Step 2: Convert to fraction form
    1,097.41/1,514.23 = 655.24/x
  3. Step 3: Cross multiply
    1,097.41x = 1,514.23 × 655.24
  4. Step 4: Simplify right side
    1,097.41x = 992,184.07
  5. Step 5: Solve for x
    x = 992,184.07/1,097.41
  6. Step 6: Final answer
    x = 904.11

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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.