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Finding the Fourth Proportional to 1,404.41, 2,106.93 and 788.54

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Solution

The fourth proportional to 1,404.41, 2,106.93 and 788.54 is: 1,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.41 : 2,106.93 = 788.54 : x
  2. Step 2: Convert to fraction form
    1,404.41/2,106.93 = 788.54/x
  3. Step 3: Cross multiply
    1,404.41x = 2,106.93 × 788.54
  4. Step 4: Simplify right side
    1,404.41x = 1,661,398.58
  5. Step 5: Solve for x
    x = 1,661,398.58/1,404.41
  6. Step 6: Final answer
    x = 1,182.99

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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.