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Finding the Fourth Proportional to 1,482.13, 2,223.83 and 788.60

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Solution

The fourth proportional to 1,482.13, 2,223.83 and 788.60 is: 1,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.13 : 2,223.83 = 788.60 : x
  2. Step 2: Convert to fraction form
    1,482.13/2,223.83 = 788.60/x
  3. Step 3: Cross multiply
    1,482.13x = 2,223.83 × 788.60
  4. Step 4: Simplify right side
    1,482.13x = 1,753,701.22
  5. Step 5: Solve for x
    x = 1,753,701.22/1,482.13
  6. Step 6: Final answer
    x = 1,183.23

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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.