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Finding the Fourth Proportional to 837.40, 1,155.60 and 488.08

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Solution

The fourth proportional to 837.40, 1,155.60 and 488.08 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.40 : 1,155.60 = 488.08 : x
  2. Step 2: Convert to fraction form
    837.40/1,155.60 = 488.08/x
  3. Step 3: Cross multiply
    837.40x = 1,155.60 × 488.08
  4. Step 4: Simplify right side
    837.40x = 564,025.25
  5. Step 5: Solve for x
    x = 564,025.25/837.40
  6. Step 6: Final answer
    x = 673.54

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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.