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Finding the Fourth Proportional to 1,160.16, 1,601.10 and 662.70

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Solution

The fourth proportional to 1,160.16, 1,601.10 and 662.70 is: 914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.16 : 1,601.10 = 662.70 : x
  2. Step 2: Convert to fraction form
    1,160.16/1,601.10 = 662.70/x
  3. Step 3: Cross multiply
    1,160.16x = 1,601.10 × 662.70
  4. Step 4: Simplify right side
    1,160.16x = 1,061,048.97
  5. Step 5: Solve for x
    x = 1,061,048.97/1,160.16
  6. Step 6: Final answer
    x = 914.57

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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.