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Finding the Fourth Proportional to 1,027.93, 1,542.15 and 589.68

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Solution

The fourth proportional to 1,027.93, 1,542.15 and 589.68 is: 884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.93 : 1,542.15 = 589.68 : x
  2. Step 2: Convert to fraction form
    1,027.93/1,542.15 = 589.68/x
  3. Step 3: Cross multiply
    1,027.93x = 1,542.15 × 589.68
  4. Step 4: Simplify right side
    1,027.93x = 909,371.44
  5. Step 5: Solve for x
    x = 909,371.44/1,027.93
  6. Step 6: Final answer
    x = 884.66

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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.