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Finding the Fourth Proportional to 1,715.28, 2,572.89 and 416.75

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Solution

The fourth proportional to 1,715.28, 2,572.89 and 416.75 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.28 : 2,572.89 = 416.75 : x
  2. Step 2: Convert to fraction form
    1,715.28/2,572.89 = 416.75/x
  3. Step 3: Cross multiply
    1,715.28x = 2,572.89 × 416.75
  4. Step 4: Simplify right side
    1,715.28x = 1,072,239.04
  5. Step 5: Solve for x
    x = 1,072,239.04/1,715.28
  6. Step 6: Final answer
    x = 625.11

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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.