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Finding the Fourth Proportional to 1,178.80, 1,766.98 and 529.99

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Solution

The fourth proportional to 1,178.80, 1,766.98 and 529.99 is: 794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.80 : 1,766.98 = 529.99 : x
  2. Step 2: Convert to fraction form
    1,178.80/1,766.98 = 529.99/x
  3. Step 3: Cross multiply
    1,178.80x = 1,766.98 × 529.99
  4. Step 4: Simplify right side
    1,178.80x = 936,477.98
  5. Step 5: Solve for x
    x = 936,477.98/1,178.80
  6. Step 6: Final answer
    x = 794.43

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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.