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Finding the Fourth Proportional to 1,518.59, 2,278.24 and 788.01

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Solution

The fourth proportional to 1,518.59, 2,278.24 and 788.01 is: 1,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.59 : 2,278.24 = 788.01 : x
  2. Step 2: Convert to fraction form
    1,518.59/2,278.24 = 788.01/x
  3. Step 3: Cross multiply
    1,518.59x = 2,278.24 × 788.01
  4. Step 4: Simplify right side
    1,518.59x = 1,795,265.39
  5. Step 5: Solve for x
    x = 1,795,265.39/1,518.59
  6. Step 6: Final answer
    x = 1,182.19

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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.