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Finding the Fourth Proportional to 1,354.68, 2,032.14 and 380.78

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Solution

The fourth proportional to 1,354.68, 2,032.14 and 380.78 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.68 : 2,032.14 = 380.78 : x
  2. Step 2: Convert to fraction form
    1,354.68/2,032.14 = 380.78/x
  3. Step 3: Cross multiply
    1,354.68x = 2,032.14 × 380.78
  4. Step 4: Simplify right side
    1,354.68x = 773,788.11
  5. Step 5: Solve for x
    x = 773,788.11/1,354.68
  6. Step 6: Final answer
    x = 571.20

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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.