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Finding the Fourth Proportional to 1,059.78, 1,589.40 and 482.52

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Solution

The fourth proportional to 1,059.78, 1,589.40 and 482.52 is: 723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.78 : 1,589.40 = 482.52 : x
  2. Step 2: Convert to fraction form
    1,059.78/1,589.40 = 482.52/x
  3. Step 3: Cross multiply
    1,059.78x = 1,589.40 × 482.52
  4. Step 4: Simplify right side
    1,059.78x = 766,917.29
  5. Step 5: Solve for x
    x = 766,917.29/1,059.78
  6. Step 6: Final answer
    x = 723.66

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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.