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Finding the Fourth Proportional to 1,095.79, 1,643.08 and 364.97

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Solution

The fourth proportional to 1,095.79, 1,643.08 and 364.97 is: 547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.79 : 1,643.08 = 364.97 : x
  2. Step 2: Convert to fraction form
    1,095.79/1,643.08 = 364.97/x
  3. Step 3: Cross multiply
    1,095.79x = 1,643.08 × 364.97
  4. Step 4: Simplify right side
    1,095.79x = 599,664.87
  5. Step 5: Solve for x
    x = 599,664.87/1,095.79
  6. Step 6: Final answer
    x = 547.24

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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.