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Finding the Fourth Proportional to 1,404.72, 2,105.56 and 582.47

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Solution

The fourth proportional to 1,404.72, 2,105.56 and 582.47 is: 873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.72 : 2,105.56 = 582.47 : x
  2. Step 2: Convert to fraction form
    1,404.72/2,105.56 = 582.47/x
  3. Step 3: Cross multiply
    1,404.72x = 2,105.56 × 582.47
  4. Step 4: Simplify right side
    1,404.72x = 1,226,425.53
  5. Step 5: Solve for x
    x = 1,226,425.53/1,404.72
  6. Step 6: Final answer
    x = 873.07

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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.