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Finding the Fourth Proportional to 1,176.79, 1,623.25 and 778.45

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Solution

The fourth proportional to 1,176.79, 1,623.25 and 778.45 is: 1,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.79 : 1,623.25 = 778.45 : x
  2. Step 2: Convert to fraction form
    1,176.79/1,623.25 = 778.45/x
  3. Step 3: Cross multiply
    1,176.79x = 1,623.25 × 778.45
  4. Step 4: Simplify right side
    1,176.79x = 1,263,618.96
  5. Step 5: Solve for x
    x = 1,263,618.96/1,176.79
  6. Step 6: Final answer
    x = 1,073.78

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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.