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Finding the Fourth Proportional to 1,095.87, 1,643.89 and 365.45

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Solution

The fourth proportional to 1,095.87, 1,643.89 and 365.45 is: 548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.87 : 1,643.89 = 365.45 : x
  2. Step 2: Convert to fraction form
    1,095.87/1,643.89 = 365.45/x
  3. Step 3: Cross multiply
    1,095.87x = 1,643.89 × 365.45
  4. Step 4: Simplify right side
    1,095.87x = 600,753.38
  5. Step 5: Solve for x
    x = 600,753.38/1,095.87
  6. Step 6: Final answer
    x = 548.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.