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Finding the Fourth Proportional to 1,159.70, 1,740.83 and 611.73

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Solution

The fourth proportional to 1,159.70, 1,740.83 and 611.73 is: 918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.70 : 1,740.83 = 611.73 : x
  2. Step 2: Convert to fraction form
    1,159.70/1,740.83 = 611.73/x
  3. Step 3: Cross multiply
    1,159.70x = 1,740.83 × 611.73
  4. Step 4: Simplify right side
    1,159.70x = 1,064,914.88
  5. Step 5: Solve for x
    x = 1,064,914.88/1,159.70
  6. Step 6: Final answer
    x = 918.27

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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.