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Finding the Fourth Proportional to 734.89, 1,014.16 and 403.34

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Solution

The fourth proportional to 734.89, 1,014.16 and 403.34 is: 556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.89 : 1,014.16 = 403.34 : x
  2. Step 2: Convert to fraction form
    734.89/1,014.16 = 403.34/x
  3. Step 3: Cross multiply
    734.89x = 1,014.16 × 403.34
  4. Step 4: Simplify right side
    734.89x = 409,053.58
  5. Step 5: Solve for x
    x = 409,053.58/734.89
  6. Step 6: Final answer
    x = 556.62

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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.