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Finding the Fourth Proportional to 1,079.83, 1,618.38 and 772.28

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Solution

The fourth proportional to 1,079.83, 1,618.38 and 772.28 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.83 : 1,618.38 = 772.28 : x
  2. Step 2: Convert to fraction form
    1,079.83/1,618.38 = 772.28/x
  3. Step 3: Cross multiply
    1,079.83x = 1,618.38 × 772.28
  4. Step 4: Simplify right side
    1,079.83x = 1,249,849.59
  5. Step 5: Solve for x
    x = 1,249,849.59/1,079.83
  6. Step 6: Final answer
    x = 1,157.45

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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.