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Finding the Fourth Proportional to 1,205.47, 1,806.88 and 788.83

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Solution

The fourth proportional to 1,205.47, 1,806.88 and 788.83 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.47 : 1,806.88 = 788.83 : x
  2. Step 2: Convert to fraction form
    1,205.47/1,806.88 = 788.83/x
  3. Step 3: Cross multiply
    1,205.47x = 1,806.88 × 788.83
  4. Step 4: Simplify right side
    1,205.47x = 1,425,314.66
  5. Step 5: Solve for x
    x = 1,425,314.66/1,205.47
  6. Step 6: Final answer
    x = 1,182.38

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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.