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Finding the Fourth Proportional to 1,773.63, 2,658.63 and 800.42

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Solution

The fourth proportional to 1,773.63, 2,658.63 and 800.42 is: 1,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.63 : 2,658.63 = 800.42 : x
  2. Step 2: Convert to fraction form
    1,773.63/2,658.63 = 800.42/x
  3. Step 3: Cross multiply
    1,773.63x = 2,658.63 × 800.42
  4. Step 4: Simplify right side
    1,773.63x = 2,128,007.33
  5. Step 5: Solve for x
    x = 2,128,007.33/1,773.63
  6. Step 6: Final answer
    x = 1,199.80

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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.