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Finding the Fourth Proportional to 1,187.87, 1,782.10 and 366.15

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Solution

The fourth proportional to 1,187.87, 1,782.10 and 366.15 is: 549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.87 : 1,782.10 = 366.15 : x
  2. Step 2: Convert to fraction form
    1,187.87/1,782.10 = 366.15/x
  3. Step 3: Cross multiply
    1,187.87x = 1,782.10 × 366.15
  4. Step 4: Simplify right side
    1,187.87x = 652,523.06
  5. Step 5: Solve for x
    x = 652,523.06/1,187.87
  6. Step 6: Final answer
    x = 549.32

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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.