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Finding the Fourth Proportional to 1,027.83, 1,541.75 and 258.33

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Solution

The fourth proportional to 1,027.83, 1,541.75 and 258.33 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.83 : 1,541.75 = 258.33 : x
  2. Step 2: Convert to fraction form
    1,027.83/1,541.75 = 258.33/x
  3. Step 3: Cross multiply
    1,027.83x = 1,541.75 × 258.33
  4. Step 4: Simplify right side
    1,027.83x = 398,280.92
  5. Step 5: Solve for x
    x = 398,280.92/1,027.83
  6. Step 6: Final answer
    x = 387.50

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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.