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Finding the Fourth Proportional to 1,319.77, 1,979.01 and 772.09

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Solution

The fourth proportional to 1,319.77, 1,979.01 and 772.09 is: 1,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.77 : 1,979.01 = 772.09 : x
  2. Step 2: Convert to fraction form
    1,319.77/1,979.01 = 772.09/x
  3. Step 3: Cross multiply
    1,319.77x = 1,979.01 × 772.09
  4. Step 4: Simplify right side
    1,319.77x = 1,527,973.83
  5. Step 5: Solve for x
    x = 1,527,973.83/1,319.77
  6. Step 6: Final answer
    x = 1,157.76

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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.