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Finding the Fourth Proportional to 712.92, 983.16 and 684.84

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Solution

The fourth proportional to 712.92, 983.16 and 684.84 is: 944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.92 : 983.16 = 684.84 : x
  2. Step 2: Convert to fraction form
    712.92/983.16 = 684.84/x
  3. Step 3: Cross multiply
    712.92x = 983.16 × 684.84
  4. Step 4: Simplify right side
    712.92x = 673,307.29
  5. Step 5: Solve for x
    x = 673,307.29/712.92
  6. Step 6: Final answer
    x = 944.44

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Double scale
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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.