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Finding the Fourth Proportional to 844.33, 1,265.59 and 570.35

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Solution

The fourth proportional to 844.33, 1,265.59 and 570.35 is: 854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.33 : 1,265.59 = 570.35 : x
  2. Step 2: Convert to fraction form
    844.33/1,265.59 = 570.35/x
  3. Step 3: Cross multiply
    844.33x = 1,265.59 × 570.35
  4. Step 4: Simplify right side
    844.33x = 721,829.26
  5. Step 5: Solve for x
    x = 721,829.26/844.33
  6. Step 6: Final answer
    x = 854.91

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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.