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Finding the Fourth Proportional to 1,095.35, 1,643.10 and 344.79

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Solution

The fourth proportional to 1,095.35, 1,643.10 and 344.79 is: 517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.35 : 1,643.10 = 344.79 : x
  2. Step 2: Convert to fraction form
    1,095.35/1,643.10 = 344.79/x
  3. Step 3: Cross multiply
    1,095.35x = 1,643.10 × 344.79
  4. Step 4: Simplify right side
    1,095.35x = 566,528.56
  5. Step 5: Solve for x
    x = 566,528.56/1,095.35
  6. Step 6: Final answer
    x = 517.21

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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.