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Finding the Fourth Proportional to 1,077.06, 1,611.54 and 659.10

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Solution

The fourth proportional to 1,077.06, 1,611.54 and 659.10 is: 986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.06 : 1,611.54 = 659.10 : x
  2. Step 2: Convert to fraction form
    1,077.06/1,611.54 = 659.10/x
  3. Step 3: Cross multiply
    1,077.06x = 1,611.54 × 659.10
  4. Step 4: Simplify right side
    1,077.06x = 1,062,166.01
  5. Step 5: Solve for x
    x = 1,062,166.01/1,077.06
  6. Step 6: Final answer
    x = 986.17

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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.