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Finding the Fourth Proportional to 982.92, 1,355.96 and 651.45

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Solution

The fourth proportional to 982.92, 1,355.96 and 651.45 is: 898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.92 : 1,355.96 = 651.45 : x
  2. Step 2: Convert to fraction form
    982.92/1,355.96 = 651.45/x
  3. Step 3: Cross multiply
    982.92x = 1,355.96 × 651.45
  4. Step 4: Simplify right side
    982.92x = 883,336.88
  5. Step 5: Solve for x
    x = 883,336.88/982.92
  6. Step 6: Final answer
    x = 898.69

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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.