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Finding the Fourth Proportional to 917.03, 1,372.05 and 806.47

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Solution

The fourth proportional to 917.03, 1,372.05 and 806.47 is: 1,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.03 : 1,372.05 = 806.47 : x
  2. Step 2: Convert to fraction form
    917.03/1,372.05 = 806.47/x
  3. Step 3: Cross multiply
    917.03x = 1,372.05 × 806.47
  4. Step 4: Simplify right side
    917.03x = 1,106,510.30
  5. Step 5: Solve for x
    x = 1,106,510.30/917.03
  6. Step 6: Final answer
    x = 1,206.62

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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.