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Finding the Fourth Proportional to 734.91, 1,014.19 and 403.34

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Solution

The fourth proportional to 734.91, 1,014.19 and 403.34 is: 556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.91 : 1,014.19 = 403.34 : x
  2. Step 2: Convert to fraction form
    734.91/1,014.19 = 403.34/x
  3. Step 3: Cross multiply
    734.91x = 1,014.19 × 403.34
  4. Step 4: Simplify right side
    734.91x = 409,057.32
  5. Step 5: Solve for x
    x = 409,057.32/734.91
  6. Step 6: Final answer
    x = 556.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.