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Finding the Fourth Proportional to 1,393.04, 2,087.78 and 570.33

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Solution

The fourth proportional to 1,393.04, 2,087.78 and 570.33 is: 854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.04 : 2,087.78 = 570.33 : x
  2. Step 2: Convert to fraction form
    1,393.04/2,087.78 = 570.33/x
  3. Step 3: Cross multiply
    1,393.04x = 2,087.78 × 570.33
  4. Step 4: Simplify right side
    1,393.04x = 1,190,720.72
  5. Step 5: Solve for x
    x = 1,190,720.72/1,393.04
  6. Step 6: Final answer
    x = 854.76

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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.