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Finding the Fourth Proportional to 1,110.83, 1,664.37 and 677.07

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Solution

The fourth proportional to 1,110.83, 1,664.37 and 677.07 is: 1,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.83 : 1,664.37 = 677.07 : x
  2. Step 2: Convert to fraction form
    1,110.83/1,664.37 = 677.07/x
  3. Step 3: Cross multiply
    1,110.83x = 1,664.37 × 677.07
  4. Step 4: Simplify right side
    1,110.83x = 1,126,895.00
  5. Step 5: Solve for x
    x = 1,126,895.00/1,110.83
  6. Step 6: Final answer
    x = 1,014.47

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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.