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Finding the Fourth Proportional to 804.72, 1,107.36 and 742.08

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Solution

The fourth proportional to 804.72, 1,107.36 and 742.08 is: 1,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.72 : 1,107.36 = 742.08 : x
  2. Step 2: Convert to fraction form
    804.72/1,107.36 = 742.08/x
  3. Step 3: Cross multiply
    804.72x = 1,107.36 × 742.08
  4. Step 4: Simplify right side
    804.72x = 821,749.71
  5. Step 5: Solve for x
    x = 821,749.71/804.72
  6. Step 6: Final answer
    x = 1,021.16

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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.