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Finding the Fourth Proportional to 918.08, 1,374.62 and 711.69

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Solution

The fourth proportional to 918.08, 1,374.62 and 711.69 is: 1,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,374.62 = 711.69 : x
  2. Step 2: Convert to fraction form
    918.08/1,374.62 = 711.69/x
  3. Step 3: Cross multiply
    918.08x = 1,374.62 × 711.69
  4. Step 4: Simplify right side
    918.08x = 978,298.60
  5. Step 5: Solve for x
    x = 978,298.60/918.08
  6. Step 6: Final answer
    x = 1,065.59

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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.