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Finding the Fourth Proportional to 1,027.12, 1,416.73 and 816.99

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Solution

The fourth proportional to 1,027.12, 1,416.73 and 816.99 is: 1,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.12 : 1,416.73 = 816.99 : x
  2. Step 2: Convert to fraction form
    1,027.12/1,416.73 = 816.99/x
  3. Step 3: Cross multiply
    1,027.12x = 1,416.73 × 816.99
  4. Step 4: Simplify right side
    1,027.12x = 1,157,454.24
  5. Step 5: Solve for x
    x = 1,157,454.24/1,027.12
  6. Step 6: Final answer
    x = 1,126.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.