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Finding the Fourth Proportional to 1,390.83, 2,086.55 and 403.66

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Solution

The fourth proportional to 1,390.83, 2,086.55 and 403.66 is: 605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.83 : 2,086.55 = 403.66 : x
  2. Step 2: Convert to fraction form
    1,390.83/2,086.55 = 403.66/x
  3. Step 3: Cross multiply
    1,390.83x = 2,086.55 × 403.66
  4. Step 4: Simplify right side
    1,390.83x = 842,245.04
  5. Step 5: Solve for x
    x = 842,245.04/1,390.83
  6. Step 6: Final answer
    x = 605.57

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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.