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Finding the Fourth Proportional to 1,390.43, 2,084.60 and 465.44

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Solution

The fourth proportional to 1,390.43, 2,084.60 and 465.44 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.43 : 2,084.60 = 465.44 : x
  2. Step 2: Convert to fraction form
    1,390.43/2,084.60 = 465.44/x
  3. Step 3: Cross multiply
    1,390.43x = 2,084.60 × 465.44
  4. Step 4: Simplify right side
    1,390.43x = 970,246.96
  5. Step 5: Solve for x
    x = 970,246.96/1,390.43
  6. Step 6: Final answer
    x = 697.80

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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.