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Finding the Fourth Proportional to 1,106.00, 1,654.82 and 659.61

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Solution

The fourth proportional to 1,106.00, 1,654.82 and 659.61 is: 986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.00 : 1,654.82 = 659.61 : x
  2. Step 2: Convert to fraction form
    1,106.00/1,654.82 = 659.61/x
  3. Step 3: Cross multiply
    1,106.00x = 1,654.82 × 659.61
  4. Step 4: Simplify right side
    1,106.00x = 1,091,537.47
  5. Step 5: Solve for x
    x = 1,091,537.47/1,106.00
  6. Step 6: Final answer
    x = 986.93

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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.