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Finding the Fourth Proportional to 1,095.86, 1,643.70 and 365.42

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Solution

The fourth proportional to 1,095.86, 1,643.70 and 365.42 is: 548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.86 : 1,643.70 = 365.42 : x
  2. Step 2: Convert to fraction form
    1,095.86/1,643.70 = 365.42/x
  3. Step 3: Cross multiply
    1,095.86x = 1,643.70 × 365.42
  4. Step 4: Simplify right side
    1,095.86x = 600,640.85
  5. Step 5: Solve for x
    x = 600,640.85/1,095.86
  6. Step 6: Final answer
    x = 548.10

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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.