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Finding the Fourth Proportional to 1,354.64, 2,031.96 and 380.74

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Solution

The fourth proportional to 1,354.64, 2,031.96 and 380.74 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.64 : 2,031.96 = 380.74 : x
  2. Step 2: Convert to fraction form
    1,354.64/2,031.96 = 380.74/x
  3. Step 3: Cross multiply
    1,354.64x = 2,031.96 × 380.74
  4. Step 4: Simplify right side
    1,354.64x = 773,648.45
  5. Step 5: Solve for x
    x = 773,648.45/1,354.64
  6. Step 6: Final answer
    x = 571.11

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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.