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Finding the Fourth Proportional to 1,718.07, 2,576.49 and 622.14

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Solution

The fourth proportional to 1,718.07, 2,576.49 and 622.14 is: 932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.07 : 2,576.49 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,718.07/2,576.49 = 622.14/x
  3. Step 3: Cross multiply
    1,718.07x = 2,576.49 × 622.14
  4. Step 4: Simplify right side
    1,718.07x = 1,602,937.49
  5. Step 5: Solve for x
    x = 1,602,937.49/1,718.07
  6. Step 6: Final answer
    x = 932.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.