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Finding the Fourth Proportional to 734.20, 1,110.01 and 734.20

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Solution

The fourth proportional to 734.20, 1,110.01 and 734.20 is: 1,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.20 : 1,110.01 = 734.20 : x
  2. Step 2: Convert to fraction form
    734.20/1,110.01 = 734.20/x
  3. Step 3: Cross multiply
    734.20x = 1,110.01 × 734.20
  4. Step 4: Simplify right side
    734.20x = 814,969.34
  5. Step 5: Solve for x
    x = 814,969.34/734.20
  6. Step 6: Final answer
    x = 1,110.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.