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Finding the Fourth Proportional to 734.82, 1,014.06 and 403.28

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Solution

The fourth proportional to 734.82, 1,014.06 and 403.28 is: 556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.82 : 1,014.06 = 403.28 : x
  2. Step 2: Convert to fraction form
    734.82/1,014.06 = 403.28/x
  3. Step 3: Cross multiply
    734.82x = 1,014.06 × 403.28
  4. Step 4: Simplify right side
    734.82x = 408,950.12
  5. Step 5: Solve for x
    x = 408,950.12/734.82
  6. Step 6: Final answer
    x = 556.53

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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.