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Finding the Fourth Proportional to 1,394.83, 2,091.93 and 420.67

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Solution

The fourth proportional to 1,394.83, 2,091.93 and 420.67 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.83 : 2,091.93 = 420.67 : x
  2. Step 2: Convert to fraction form
    1,394.83/2,091.93 = 420.67/x
  3. Step 3: Cross multiply
    1,394.83x = 2,091.93 × 420.67
  4. Step 4: Simplify right side
    1,394.83x = 880,012.19
  5. Step 5: Solve for x
    x = 880,012.19/1,394.83
  6. Step 6: Final answer
    x = 630.91

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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.