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Finding the Fourth Proportional to 1,518.39, 2,277.63 and 788.49

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Solution

The fourth proportional to 1,518.39, 2,277.63 and 788.49 is: 1,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.39 : 2,277.63 = 788.49 : x
  2. Step 2: Convert to fraction form
    1,518.39/2,277.63 = 788.49/x
  3. Step 3: Cross multiply
    1,518.39x = 2,277.63 × 788.49
  4. Step 4: Simplify right side
    1,518.39x = 1,795,888.48
  5. Step 5: Solve for x
    x = 1,795,888.48/1,518.39
  6. Step 6: Final answer
    x = 1,182.76

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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.