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Finding the Fourth Proportional to 1,278.27, 1,917.31 and 353.80

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Solution

The fourth proportional to 1,278.27, 1,917.31 and 353.80 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.27 : 1,917.31 = 353.80 : x
  2. Step 2: Convert to fraction form
    1,278.27/1,917.31 = 353.80/x
  3. Step 3: Cross multiply
    1,278.27x = 1,917.31 × 353.80
  4. Step 4: Simplify right side
    1,278.27x = 678,344.28
  5. Step 5: Solve for x
    x = 678,344.28/1,278.27
  6. Step 6: Final answer
    x = 530.67

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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.