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Finding the Fourth Proportional to 642.45, 957.10 and 611.49

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Solution

The fourth proportional to 642.45, 957.10 and 611.49 is: 910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 957.10 = 611.49 : x
  2. Step 2: Convert to fraction form
    642.45/957.10 = 611.49/x
  3. Step 3: Cross multiply
    642.45x = 957.10 × 611.49
  4. Step 4: Simplify right side
    642.45x = 585,249.24
  5. Step 5: Solve for x
    x = 585,249.24/642.45
  6. Step 6: Final answer
    x = 910.97

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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.