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Finding the Fourth Proportional to 1,095.53, 1,640.99 and 511.03

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Solution

The fourth proportional to 1,095.53, 1,640.99 and 511.03 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.53 : 1,640.99 = 511.03 : x
  2. Step 2: Convert to fraction form
    1,095.53/1,640.99 = 511.03/x
  3. Step 3: Cross multiply
    1,095.53x = 1,640.99 × 511.03
  4. Step 4: Simplify right side
    1,095.53x = 838,592.29
  5. Step 5: Solve for x
    x = 838,592.29/1,095.53
  6. Step 6: Final answer
    x = 765.47

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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.