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Finding the Fourth Proportional to 911.02, 1,366.58 and 261.74

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Solution

The fourth proportional to 911.02, 1,366.58 and 261.74 is: 392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.02 : 1,366.58 = 261.74 : x
  2. Step 2: Convert to fraction form
    911.02/1,366.58 = 261.74/x
  3. Step 3: Cross multiply
    911.02x = 1,366.58 × 261.74
  4. Step 4: Simplify right side
    911.02x = 357,680.51
  5. Step 5: Solve for x
    x = 357,680.51/911.02
  6. Step 6: Final answer
    x = 392.62

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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.