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Finding the Fourth Proportional to 1,410.46, 1,946.29 and 820.84

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Solution

The fourth proportional to 1,410.46, 1,946.29 and 820.84 is: 1,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.46 : 1,946.29 = 820.84 : x
  2. Step 2: Convert to fraction form
    1,410.46/1,946.29 = 820.84/x
  3. Step 3: Cross multiply
    1,410.46x = 1,946.29 × 820.84
  4. Step 4: Simplify right side
    1,410.46x = 1,597,592.68
  5. Step 5: Solve for x
    x = 1,597,592.68/1,410.46
  6. Step 6: Final answer
    x = 1,132.67

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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.