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Finding the Fourth Proportional to 712.28, 981.74 and 650.32

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Solution

The fourth proportional to 712.28, 981.74 and 650.32 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 981.74 = 650.32 : x
  2. Step 2: Convert to fraction form
    712.28/981.74 = 650.32/x
  3. Step 3: Cross multiply
    712.28x = 981.74 × 650.32
  4. Step 4: Simplify right side
    712.28x = 638,445.16
  5. Step 5: Solve for x
    x = 638,445.16/712.28
  6. Step 6: Final answer
    x = 896.34

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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.