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Finding the Fourth Proportional to 1,403.64, 2,105.46 and 537.78

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Solution

The fourth proportional to 1,403.64, 2,105.46 and 537.78 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.64 : 2,105.46 = 537.78 : x
  2. Step 2: Convert to fraction form
    1,403.64/2,105.46 = 537.78/x
  3. Step 3: Cross multiply
    1,403.64x = 2,105.46 × 537.78
  4. Step 4: Simplify right side
    1,403.64x = 1,132,274.28
  5. Step 5: Solve for x
    x = 1,132,274.28/1,403.64
  6. Step 6: Final answer
    x = 806.67

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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.