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Finding the Fourth Proportional to 642.74, 957.17 and 601.22

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Solution

The fourth proportional to 642.74, 957.17 and 601.22 is: 895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.74 : 957.17 = 601.22 : x
  2. Step 2: Convert to fraction form
    642.74/957.17 = 601.22/x
  3. Step 3: Cross multiply
    642.74x = 957.17 × 601.22
  4. Step 4: Simplify right side
    642.74x = 575,469.75
  5. Step 5: Solve for x
    x = 575,469.75/642.74
  6. Step 6: Final answer
    x = 895.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.