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Finding the Fourth Proportional to 1,539.53, 2,308.87 and 443.93

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Solution

The fourth proportional to 1,539.53, 2,308.87 and 443.93 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.53 : 2,308.87 = 443.93 : x
  2. Step 2: Convert to fraction form
    1,539.53/2,308.87 = 443.93/x
  3. Step 3: Cross multiply
    1,539.53x = 2,308.87 × 443.93
  4. Step 4: Simplify right side
    1,539.53x = 1,024,976.66
  5. Step 5: Solve for x
    x = 1,024,976.66/1,539.53
  6. Step 6: Final answer
    x = 665.77

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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.