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Finding the Fourth Proportional to 984.02, 1,357.44 and 688.64

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Solution

The fourth proportional to 984.02, 1,357.44 and 688.64 is: 949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,357.44 = 688.64 : x
  2. Step 2: Convert to fraction form
    984.02/1,357.44 = 688.64/x
  3. Step 3: Cross multiply
    984.02x = 1,357.44 × 688.64
  4. Step 4: Simplify right side
    984.02x = 934,787.48
  5. Step 5: Solve for x
    x = 934,787.48/984.02
  6. Step 6: Final answer
    x = 949.97

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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.