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Finding the Fourth Proportional to 1,027.99, 1,542.14 and 541.08

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Solution

The fourth proportional to 1,027.99, 1,542.14 and 541.08 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.99 : 1,542.14 = 541.08 : x
  2. Step 2: Convert to fraction form
    1,027.99/1,542.14 = 541.08/x
  3. Step 3: Cross multiply
    1,027.99x = 1,542.14 × 541.08
  4. Step 4: Simplify right side
    1,027.99x = 834,421.11
  5. Step 5: Solve for x
    x = 834,421.11/1,027.99
  6. Step 6: Final answer
    x = 811.70

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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.