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Finding the Fourth Proportional to 1,095.20, 1,642.81 and 364.75

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Solution

The fourth proportional to 1,095.20, 1,642.81 and 364.75 is: 547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.20 : 1,642.81 = 364.75 : x
  2. Step 2: Convert to fraction form
    1,095.20/1,642.81 = 364.75/x
  3. Step 3: Cross multiply
    1,095.20x = 1,642.81 × 364.75
  4. Step 4: Simplify right side
    1,095.20x = 599,218.83
  5. Step 5: Solve for x
    x = 599,218.83/1,095.20
  6. Step 6: Final answer
    x = 547.13

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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.