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Finding the Fourth Proportional to 1,187.11, 1,780.66 and 407.13

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Solution

The fourth proportional to 1,187.11, 1,780.66 and 407.13 is: 610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.11 : 1,780.66 = 407.13 : x
  2. Step 2: Convert to fraction form
    1,187.11/1,780.66 = 407.13/x
  3. Step 3: Cross multiply
    1,187.11x = 1,780.66 × 407.13
  4. Step 4: Simplify right side
    1,187.11x = 724,953.94
  5. Step 5: Solve for x
    x = 724,953.94/1,187.11
  6. Step 6: Final answer
    x = 610.69

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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.