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Finding the Fourth Proportional to 1,392.60, 2,090.16 and 571.44

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Solution

The fourth proportional to 1,392.60, 2,090.16 and 571.44 is: 857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.60 : 2,090.16 = 571.44 : x
  2. Step 2: Convert to fraction form
    1,392.60/2,090.16 = 571.44/x
  3. Step 3: Cross multiply
    1,392.60x = 2,090.16 × 571.44
  4. Step 4: Simplify right side
    1,392.60x = 1,194,401.03
  5. Step 5: Solve for x
    x = 1,194,401.03/1,392.60
  6. Step 6: Final answer
    x = 857.68

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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.