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Finding the Fourth Proportional to 1,539.90, 2,309.84 and 444.27

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Solution

The fourth proportional to 1,539.90, 2,309.84 and 444.27 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.90 : 2,309.84 = 444.27 : x
  2. Step 2: Convert to fraction form
    1,539.90/2,309.84 = 444.27/x
  3. Step 3: Cross multiply
    1,539.90x = 2,309.84 × 444.27
  4. Step 4: Simplify right side
    1,539.90x = 1,026,181.07
  5. Step 5: Solve for x
    x = 1,026,181.07/1,539.90
  6. Step 6: Final answer
    x = 666.40

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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.