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Finding the Fourth Proportional to 1,550.52, 2,323.86 and 780.60

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Solution

The fourth proportional to 1,550.52, 2,323.86 and 780.60 is: 1,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.52 : 2,323.86 = 780.60 : x
  2. Step 2: Convert to fraction form
    1,550.52/2,323.86 = 780.60/x
  3. Step 3: Cross multiply
    1,550.52x = 2,323.86 × 780.60
  4. Step 4: Simplify right side
    1,550.52x = 1,814,005.12
  5. Step 5: Solve for x
    x = 1,814,005.12/1,550.52
  6. Step 6: Final answer
    x = 1,169.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.