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Finding the Fourth Proportional to 734.71, 1,102.07 and 186.89

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Solution

The fourth proportional to 734.71, 1,102.07 and 186.89 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.71 : 1,102.07 = 186.89 : x
  2. Step 2: Convert to fraction form
    734.71/1,102.07 = 186.89/x
  3. Step 3: Cross multiply
    734.71x = 1,102.07 × 186.89
  4. Step 4: Simplify right side
    734.71x = 205,966.23
  5. Step 5: Solve for x
    x = 205,966.23/734.71
  6. Step 6: Final answer
    x = 280.34

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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.