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Finding the Fourth Proportional to 742.64, 1,112.36 and 722.16

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Solution

The fourth proportional to 742.64, 1,112.36 and 722.16 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.64 : 1,112.36 = 722.16 : x
  2. Step 2: Convert to fraction form
    742.64/1,112.36 = 722.16/x
  3. Step 3: Cross multiply
    742.64x = 1,112.36 × 722.16
  4. Step 4: Simplify right side
    742.64x = 803,301.90
  5. Step 5: Solve for x
    x = 803,301.90/742.64
  6. Step 6: Final answer
    x = 1,081.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.