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Finding the Fourth Proportional to 1,393.96, 2,090.28 and 419.88

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Solution

The fourth proportional to 1,393.96, 2,090.28 and 419.88 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.96 : 2,090.28 = 419.88 : x
  2. Step 2: Convert to fraction form
    1,393.96/2,090.28 = 419.88/x
  3. Step 3: Cross multiply
    1,393.96x = 2,090.28 × 419.88
  4. Step 4: Simplify right side
    1,393.96x = 877,666.77
  5. Step 5: Solve for x
    x = 877,666.77/1,393.96
  6. Step 6: Final answer
    x = 629.62

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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.