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Finding the Fourth Proportional to 1,146.65, 1,720.38 and 659.03

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Solution

The fourth proportional to 1,146.65, 1,720.38 and 659.03 is: 988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.65 : 1,720.38 = 659.03 : x
  2. Step 2: Convert to fraction form
    1,146.65/1,720.38 = 659.03/x
  3. Step 3: Cross multiply
    1,146.65x = 1,720.38 × 659.03
  4. Step 4: Simplify right side
    1,146.65x = 1,133,782.03
  5. Step 5: Solve for x
    x = 1,133,782.03/1,146.65
  6. Step 6: Final answer
    x = 988.78

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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.