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Finding the Fourth Proportional to 712.26, 981.59 and 512.75

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Solution

The fourth proportional to 712.26, 981.59 and 512.75 is: 706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 981.59 = 512.75 : x
  2. Step 2: Convert to fraction form
    712.26/981.59 = 512.75/x
  3. Step 3: Cross multiply
    712.26x = 981.59 × 512.75
  4. Step 4: Simplify right side
    712.26x = 503,308.08
  5. Step 5: Solve for x
    x = 503,308.08/712.26
  6. Step 6: Final answer
    x = 706.64

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Half scale
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Double scale
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Similar ratio
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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.