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Finding the Fourth Proportional to 1,120.74, 1,544.79 and 1,030.23

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Solution

The fourth proportional to 1,120.74, 1,544.79 and 1,030.23 is: 1,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.74 : 1,544.79 = 1,030.23 : x
  2. Step 2: Convert to fraction form
    1,120.74/1,544.79 = 1,030.23/x
  3. Step 3: Cross multiply
    1,120.74x = 1,544.79 × 1,030.23
  4. Step 4: Simplify right side
    1,120.74x = 1,591,489.00
  5. Step 5: Solve for x
    x = 1,591,489.00/1,120.74
  6. Step 6: Final answer
    x = 1,420.03

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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.