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Finding the Fourth Proportional to 1,326.61, 1,990.25 and 779.25

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Solution

The fourth proportional to 1,326.61, 1,990.25 and 779.25 is: 1,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.61 : 1,990.25 = 779.25 : x
  2. Step 2: Convert to fraction form
    1,326.61/1,990.25 = 779.25/x
  3. Step 3: Cross multiply
    1,326.61x = 1,990.25 × 779.25
  4. Step 4: Simplify right side
    1,326.61x = 1,550,898.42
  5. Step 5: Solve for x
    x = 1,550,898.42/1,326.61
  6. Step 6: Final answer
    x = 1,169.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.