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Finding the Fourth Proportional to 1,160.98, 1,601.76 and 663.64

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Solution

The fourth proportional to 1,160.98, 1,601.76 and 663.64 is: 915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.98 : 1,601.76 = 663.64 : x
  2. Step 2: Convert to fraction form
    1,160.98/1,601.76 = 663.64/x
  3. Step 3: Cross multiply
    1,160.98x = 1,601.76 × 663.64
  4. Step 4: Simplify right side
    1,160.98x = 1,062,992.01
  5. Step 5: Solve for x
    x = 1,062,992.01/1,160.98
  6. Step 6: Final answer
    x = 915.60

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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.