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Finding the Fourth Proportional to 1,097.14, 1,513.20 and 704.20

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Solution

The fourth proportional to 1,097.14, 1,513.20 and 704.20 is: 971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.14 : 1,513.20 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,097.14/1,513.20 = 704.20/x
  3. Step 3: Cross multiply
    1,097.14x = 1,513.20 × 704.20
  4. Step 4: Simplify right side
    1,097.14x = 1,065,595.44
  5. Step 5: Solve for x
    x = 1,065,595.44/1,097.14
  6. Step 6: Final answer
    x = 971.25

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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.