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Finding the Fourth Proportional to 1,140.11, 1,708.07 and 920.03

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Solution

The fourth proportional to 1,140.11, 1,708.07 and 920.03 is: 1,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.11 : 1,708.07 = 920.03 : x
  2. Step 2: Convert to fraction form
    1,140.11/1,708.07 = 920.03/x
  3. Step 3: Cross multiply
    1,140.11x = 1,708.07 × 920.03
  4. Step 4: Simplify right side
    1,140.11x = 1,571,467.68
  5. Step 5: Solve for x
    x = 1,571,467.68/1,140.11
  6. Step 6: Final answer
    x = 1,378.35

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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.