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Finding the Fourth Proportional to 701.92, 968.70 and 465.46

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Solution

The fourth proportional to 701.92, 968.70 and 465.46 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.92 : 968.70 = 465.46 : x
  2. Step 2: Convert to fraction form
    701.92/968.70 = 465.46/x
  3. Step 3: Cross multiply
    701.92x = 968.70 × 465.46
  4. Step 4: Simplify right side
    701.92x = 450,891.10
  5. Step 5: Solve for x
    x = 450,891.10/701.92
  6. Step 6: Final answer
    x = 642.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.