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Finding the Fourth Proportional to 1,059.76, 1,589.68 and 512.16

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Solution

The fourth proportional to 1,059.76, 1,589.68 and 512.16 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.76 : 1,589.68 = 512.16 : x
  2. Step 2: Convert to fraction form
    1,059.76/1,589.68 = 512.16/x
  3. Step 3: Cross multiply
    1,059.76x = 1,589.68 × 512.16
  4. Step 4: Simplify right side
    1,059.76x = 814,170.51
  5. Step 5: Solve for x
    x = 814,170.51/1,059.76
  6. Step 6: Final answer
    x = 768.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.