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Finding the Fourth Proportional to 1,110.81, 1,532.27 and 890.90

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Solution

The fourth proportional to 1,110.81, 1,532.27 and 890.90 is: 1,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.81 : 1,532.27 = 890.90 : x
  2. Step 2: Convert to fraction form
    1,110.81/1,532.27 = 890.90/x
  3. Step 3: Cross multiply
    1,110.81x = 1,532.27 × 890.90
  4. Step 4: Simplify right side
    1,110.81x = 1,365,094.64
  5. Step 5: Solve for x
    x = 1,365,094.64/1,110.81
  6. Step 6: Final answer
    x = 1,228.91

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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.