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Finding the Fourth Proportional to 840, 1,159.34 and 490.62

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Solution

The fourth proportional to 840, 1,159.34 and 490.62 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,159.34 = 490.62 : x
  2. Step 2: Convert to fraction form
    840/1,159.34 = 490.62/x
  3. Step 3: Cross multiply
    840x = 1,159.34 × 490.62
  4. Step 4: Simplify right side
    840x = 568,792.94
  5. Step 5: Solve for x
    x = 568,792.94/840
  6. Step 6: Final answer
    x = 677.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.