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Finding the Fourth Proportional to 700.75, 968.25 and 576.32

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Solution

The fourth proportional to 700.75, 968.25 and 576.32 is: 796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.75 : 968.25 = 576.32 : x
  2. Step 2: Convert to fraction form
    700.75/968.25 = 576.32/x
  3. Step 3: Cross multiply
    700.75x = 968.25 × 576.32
  4. Step 4: Simplify right side
    700.75x = 558,019.16
  5. Step 5: Solve for x
    x = 558,019.16/700.75
  6. Step 6: Final answer
    x = 796.32

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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.