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Finding the Fourth Proportional to 1,188.93, 1,783.01 and 366.98

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Solution

The fourth proportional to 1,188.93, 1,783.01 and 366.98 is: 550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.93 : 1,783.01 = 366.98 : x
  2. Step 2: Convert to fraction form
    1,188.93/1,783.01 = 366.98/x
  3. Step 3: Cross multiply
    1,188.93x = 1,783.01 × 366.98
  4. Step 4: Simplify right side
    1,188.93x = 654,318.26
  5. Step 5: Solve for x
    x = 654,318.26/1,188.93
  6. Step 6: Final answer
    x = 550.34

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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.