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Finding the Fourth Proportional to 1,206.02, 1,664.33 and 674.96

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Solution

The fourth proportional to 1,206.02, 1,664.33 and 674.96 is: 931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.02 : 1,664.33 = 674.96 : x
  2. Step 2: Convert to fraction form
    1,206.02/1,664.33 = 674.96/x
  3. Step 3: Cross multiply
    1,206.02x = 1,664.33 × 674.96
  4. Step 4: Simplify right side
    1,206.02x = 1,123,344.48
  5. Step 5: Solve for x
    x = 1,123,344.48/1,206.02
  6. Step 6: Final answer
    x = 931.45

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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.