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Finding the Fourth Proportional to 1,160.17, 1,600.97 and 662.83

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Solution

The fourth proportional to 1,160.17, 1,600.97 and 662.83 is: 914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.17 : 1,600.97 = 662.83 : x
  2. Step 2: Convert to fraction form
    1,160.17/1,600.97 = 662.83/x
  3. Step 3: Cross multiply
    1,160.17x = 1,600.97 × 662.83
  4. Step 4: Simplify right side
    1,160.17x = 1,061,172.63
  5. Step 5: Solve for x
    x = 1,061,172.63/1,160.17
  6. Step 6: Final answer
    x = 914.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.