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Finding the Fourth Proportional to 1,173.67, 1,759.33 and 653.91

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Solution

The fourth proportional to 1,173.67, 1,759.33 and 653.91 is: 980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.67 : 1,759.33 = 653.91 : x
  2. Step 2: Convert to fraction form
    1,173.67/1,759.33 = 653.91/x
  3. Step 3: Cross multiply
    1,173.67x = 1,759.33 × 653.91
  4. Step 4: Simplify right side
    1,173.67x = 1,150,443.48
  5. Step 5: Solve for x
    x = 1,150,443.48/1,173.67
  6. Step 6: Final answer
    x = 980.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.