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Finding the Fourth Proportional to 1,773.03, 2,658.51 and 798.18

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Solution

The fourth proportional to 1,773.03, 2,658.51 and 798.18 is: 1,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.03 : 2,658.51 = 798.18 : x
  2. Step 2: Convert to fraction form
    1,773.03/2,658.51 = 798.18/x
  3. Step 3: Cross multiply
    1,773.03x = 2,658.51 × 798.18
  4. Step 4: Simplify right side
    1,773.03x = 2,121,969.51
  5. Step 5: Solve for x
    x = 2,121,969.51/1,773.03
  6. Step 6: Final answer
    x = 1,196.80

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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.