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Finding the Fourth Proportional to 1,187.55, 1,780.07 and 406.85

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Solution

The fourth proportional to 1,187.55, 1,780.07 and 406.85 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.55 : 1,780.07 = 406.85 : x
  2. Step 2: Convert to fraction form
    1,187.55/1,780.07 = 406.85/x
  3. Step 3: Cross multiply
    1,187.55x = 1,780.07 × 406.85
  4. Step 4: Simplify right side
    1,187.55x = 724,210.54
  5. Step 5: Solve for x
    x = 724,210.54/1,187.55
  6. Step 6: Final answer
    x = 609.84

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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.