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Finding the Fourth Proportional to 1,097.76, 1,514.08 and 704.48

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Solution

The fourth proportional to 1,097.76, 1,514.08 and 704.48 is: 971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.76 : 1,514.08 = 704.48 : x
  2. Step 2: Convert to fraction form
    1,097.76/1,514.08 = 704.48/x
  3. Step 3: Cross multiply
    1,097.76x = 1,514.08 × 704.48
  4. Step 4: Simplify right side
    1,097.76x = 1,066,639.08
  5. Step 5: Solve for x
    x = 1,066,639.08/1,097.76
  6. Step 6: Final answer
    x = 971.65

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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.