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Finding the Fourth Proportional to 1,164.09, 1,743.39 and 918.98

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Solution

The fourth proportional to 1,164.09, 1,743.39 and 918.98 is: 1,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.09 : 1,743.39 = 918.98 : x
  2. Step 2: Convert to fraction form
    1,164.09/1,743.39 = 918.98/x
  3. Step 3: Cross multiply
    1,164.09x = 1,743.39 × 918.98
  4. Step 4: Simplify right side
    1,164.09x = 1,602,131.83
  5. Step 5: Solve for x
    x = 1,602,131.83/1,164.09
  6. Step 6: Final answer
    x = 1,376.30

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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.