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Finding the Fourth Proportional to 1,662.84, 2,494.40 and 552.25

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Solution

The fourth proportional to 1,662.84, 2,494.40 and 552.25 is: 828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.84 : 2,494.40 = 552.25 : x
  2. Step 2: Convert to fraction form
    1,662.84/2,494.40 = 552.25/x
  3. Step 3: Cross multiply
    1,662.84x = 2,494.40 × 552.25
  4. Step 4: Simplify right side
    1,662.84x = 1,377,532.76
  5. Step 5: Solve for x
    x = 1,377,532.76/1,662.84
  6. Step 6: Final answer
    x = 828.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.