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Finding the Fourth Proportional to 1,445.06, 2,167.23 and 404.80

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Solution

The fourth proportional to 1,445.06, 2,167.23 and 404.80 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.06 : 2,167.23 = 404.80 : x
  2. Step 2: Convert to fraction form
    1,445.06/2,167.23 = 404.80/x
  3. Step 3: Cross multiply
    1,445.06x = 2,167.23 × 404.80
  4. Step 4: Simplify right side
    1,445.06x = 877,288.53
  5. Step 5: Solve for x
    x = 877,288.53/1,445.06
  6. Step 6: Final answer
    x = 607.09

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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.