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Finding the Fourth Proportional to 1,394.43, 2,091.64 and 420.53

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Solution

The fourth proportional to 1,394.43, 2,091.64 and 420.53 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.43 : 2,091.64 = 420.53 : x
  2. Step 2: Convert to fraction form
    1,394.43/2,091.64 = 420.53/x
  3. Step 3: Cross multiply
    1,394.43x = 2,091.64 × 420.53
  4. Step 4: Simplify right side
    1,394.43x = 879,599.90
  5. Step 5: Solve for x
    x = 879,599.90/1,394.43
  6. Step 6: Final answer
    x = 630.80

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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.