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Finding the Fourth Proportional to 1,715.00, 2,572.47 and 416.48

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Solution

The fourth proportional to 1,715.00, 2,572.47 and 416.48 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.00 : 2,572.47 = 416.48 : x
  2. Step 2: Convert to fraction form
    1,715.00/2,572.47 = 416.48/x
  3. Step 3: Cross multiply
    1,715.00x = 2,572.47 × 416.48
  4. Step 4: Simplify right side
    1,715.00x = 1,071,369.44
  5. Step 5: Solve for x
    x = 1,071,369.44/1,715.00
  6. Step 6: Final answer
    x = 624.71

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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.