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Finding the Fourth Proportional to 837.45, 1,255.05 and 652.59

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Solution

The fourth proportional to 837.45, 1,255.05 and 652.59 is: 978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.45 : 1,255.05 = 652.59 : x
  2. Step 2: Convert to fraction form
    837.45/1,255.05 = 652.59/x
  3. Step 3: Cross multiply
    837.45x = 1,255.05 × 652.59
  4. Step 4: Simplify right side
    837.45x = 819,033.08
  5. Step 5: Solve for x
    x = 819,033.08/837.45
  6. Step 6: Final answer
    x = 978.01

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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.