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Finding the Fourth Proportional to 1,381.60, 1,905.90 and 850.30

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Solution

The fourth proportional to 1,381.60, 1,905.90 and 850.30 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.60 : 1,905.90 = 850.30 : x
  2. Step 2: Convert to fraction form
    1,381.60/1,905.90 = 850.30/x
  3. Step 3: Cross multiply
    1,381.60x = 1,905.90 × 850.30
  4. Step 4: Simplify right side
    1,381.60x = 1,620,586.77
  5. Step 5: Solve for x
    x = 1,620,586.77/1,381.60
  6. Step 6: Final answer
    x = 1,172.98

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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.