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Finding the Fourth Proportional to 1,188.86, 1,641.98 and 968.94

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Solution

The fourth proportional to 1,188.86, 1,641.98 and 968.94 is: 1,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.86 : 1,641.98 = 968.94 : x
  2. Step 2: Convert to fraction form
    1,188.86/1,641.98 = 968.94/x
  3. Step 3: Cross multiply
    1,188.86x = 1,641.98 × 968.94
  4. Step 4: Simplify right side
    1,188.86x = 1,590,980.10
  5. Step 5: Solve for x
    x = 1,590,980.10/1,188.86
  6. Step 6: Final answer
    x = 1,338.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.