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Finding the Fourth Proportional to 1,097.44, 1,514.01 and 704.32

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Solution

The fourth proportional to 1,097.44, 1,514.01 and 704.32 is: 971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 1,514.01 = 704.32 : x
  2. Step 2: Convert to fraction form
    1,097.44/1,514.01 = 704.32/x
  3. Step 3: Cross multiply
    1,097.44x = 1,514.01 × 704.32
  4. Step 4: Simplify right side
    1,097.44x = 1,066,347.52
  5. Step 5: Solve for x
    x = 1,066,347.52/1,097.44
  6. Step 6: Final answer
    x = 971.67

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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.