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Finding the Fourth Proportional to 782.03, 1,078.22 and 572.03

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Solution

The fourth proportional to 782.03, 1,078.22 and 572.03 is: 788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.03 : 1,078.22 = 572.03 : x
  2. Step 2: Convert to fraction form
    782.03/1,078.22 = 572.03/x
  3. Step 3: Cross multiply
    782.03x = 1,078.22 × 572.03
  4. Step 4: Simplify right side
    782.03x = 616,771.33
  5. Step 5: Solve for x
    x = 616,771.33/782.03
  6. Step 6: Final answer
    x = 788.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.