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Finding the Fourth Proportional to 1,539.84, 2,309.77 and 499.84

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Solution

The fourth proportional to 1,539.84, 2,309.77 and 499.84 is: 749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.84 : 2,309.77 = 499.84 : x
  2. Step 2: Convert to fraction form
    1,539.84/2,309.77 = 499.84/x
  3. Step 3: Cross multiply
    1,539.84x = 2,309.77 × 499.84
  4. Step 4: Simplify right side
    1,539.84x = 1,154,515.44
  5. Step 5: Solve for x
    x = 1,154,515.44/1,539.84
  6. Step 6: Final answer
    x = 749.76

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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.