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Finding the Fourth Proportional to 1,109.22, 1,662.24 and 877.08

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Solution

The fourth proportional to 1,109.22, 1,662.24 and 877.08 is: 1,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.22 : 1,662.24 = 877.08 : x
  2. Step 2: Convert to fraction form
    1,109.22/1,662.24 = 877.08/x
  3. Step 3: Cross multiply
    1,109.22x = 1,662.24 × 877.08
  4. Step 4: Simplify right side
    1,109.22x = 1,457,917.46
  5. Step 5: Solve for x
    x = 1,457,917.46/1,109.22
  6. Step 6: Final answer
    x = 1,314.36

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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.