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Finding the Fourth Proportional to 837.70, 1,256.51 and 403.54

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Solution

The fourth proportional to 837.70, 1,256.51 and 403.54 is: 605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,256.51 = 403.54 : x
  2. Step 2: Convert to fraction form
    837.70/1,256.51 = 403.54/x
  3. Step 3: Cross multiply
    837.70x = 1,256.51 × 403.54
  4. Step 4: Simplify right side
    837.70x = 507,050.03
  5. Step 5: Solve for x
    x = 507,050.03/837.70
  6. Step 6: Final answer
    x = 605.29

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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.