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Finding the Fourth Proportional to 1,365.90, 2,048.31 and 499.74

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Solution

The fourth proportional to 1,365.90, 2,048.31 and 499.74 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.90 : 2,048.31 = 499.74 : x
  2. Step 2: Convert to fraction form
    1,365.90/2,048.31 = 499.74/x
  3. Step 3: Cross multiply
    1,365.90x = 2,048.31 × 499.74
  4. Step 4: Simplify right side
    1,365.90x = 1,023,622.44
  5. Step 5: Solve for x
    x = 1,023,622.44/1,365.90
  6. Step 6: Final answer
    x = 749.41

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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.