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Finding the Fourth Proportional to 1,095.61, 1,643.37 and 273.89

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Solution

The fourth proportional to 1,095.61, 1,643.37 and 273.89 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.61 : 1,643.37 = 273.89 : x
  2. Step 2: Convert to fraction form
    1,095.61/1,643.37 = 273.89/x
  3. Step 3: Cross multiply
    1,095.61x = 1,643.37 × 273.89
  4. Step 4: Simplify right side
    1,095.61x = 450,102.61
  5. Step 5: Solve for x
    x = 450,102.61/1,095.61
  6. Step 6: Final answer
    x = 410.82

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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.