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Finding the Fourth Proportional to 1,160.46, 1,601.72 and 663.23

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Solution

The fourth proportional to 1,160.46, 1,601.72 and 663.23 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,601.72 = 663.23 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,601.72 = 663.23/x
  3. Step 3: Cross multiply
    1,160.46x = 1,601.72 × 663.23
  4. Step 4: Simplify right side
    1,160.46x = 1,062,297.43
  5. Step 5: Solve for x
    x = 1,062,297.43/1,160.46
  6. Step 6: Final answer
    x = 915.41

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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.