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Finding the Fourth Proportional to 1,453.21, 2,179.60 and 587.32

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Solution

The fourth proportional to 1,453.21, 2,179.60 and 587.32 is: 880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.21 : 2,179.60 = 587.32 : x
  2. Step 2: Convert to fraction form
    1,453.21/2,179.60 = 587.32/x
  3. Step 3: Cross multiply
    1,453.21x = 2,179.60 × 587.32
  4. Step 4: Simplify right side
    1,453.21x = 1,280,122.67
  5. Step 5: Solve for x
    x = 1,280,122.67/1,453.21
  6. Step 6: Final answer
    x = 880.89

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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.