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Finding the Fourth Proportional to 734.70, 1,101.87 and 266.10

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Solution

The fourth proportional to 734.70, 1,101.87 and 266.10 is: 399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,101.87 = 266.10 : x
  2. Step 2: Convert to fraction form
    734.70/1,101.87 = 266.10/x
  3. Step 3: Cross multiply
    734.70x = 1,101.87 × 266.10
  4. Step 4: Simplify right side
    734.70x = 293,207.61
  5. Step 5: Solve for x
    x = 293,207.61/734.70
  6. Step 6: Final answer
    x = 399.08

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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.