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Finding the Fourth Proportional to 1,354.01, 2,030.67 and 520.90

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Solution

The fourth proportional to 1,354.01, 2,030.67 and 520.90 is: 781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.01 : 2,030.67 = 520.90 : x
  2. Step 2: Convert to fraction form
    1,354.01/2,030.67 = 520.90/x
  3. Step 3: Cross multiply
    1,354.01x = 2,030.67 × 520.90
  4. Step 4: Simplify right side
    1,354.01x = 1,057,770.93
  5. Step 5: Solve for x
    x = 1,057,770.93/1,354.01
  6. Step 6: Final answer
    x = 781.22

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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.