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Finding the Fourth Proportional to 1,059.16, 1,589.52 and 511.48

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Solution

The fourth proportional to 1,059.16, 1,589.52 and 511.48 is: 767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.16 : 1,589.52 = 511.48 : x
  2. Step 2: Convert to fraction form
    1,059.16/1,589.52 = 511.48/x
  3. Step 3: Cross multiply
    1,059.16x = 1,589.52 × 511.48
  4. Step 4: Simplify right side
    1,059.16x = 813,007.69
  5. Step 5: Solve for x
    x = 813,007.69/1,059.16
  6. Step 6: Final answer
    x = 767.60

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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.