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Finding the Fourth Proportional to 729.81, 1,007.07 and 398.22

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Solution

The fourth proportional to 729.81, 1,007.07 and 398.22 is: 549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.81 : 1,007.07 = 398.22 : x
  2. Step 2: Convert to fraction form
    729.81/1,007.07 = 398.22/x
  3. Step 3: Cross multiply
    729.81x = 1,007.07 × 398.22
  4. Step 4: Simplify right side
    729.81x = 401,030.15
  5. Step 5: Solve for x
    x = 401,030.15/729.81
  6. Step 6: Final answer
    x = 549.50

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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.