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Finding the Fourth Proportional to 1,709.02, 2,563.62 and 539.06

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Solution

The fourth proportional to 1,709.02, 2,563.62 and 539.06 is: 808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.02 : 2,563.62 = 539.06 : x
  2. Step 2: Convert to fraction form
    1,709.02/2,563.62 = 539.06/x
  3. Step 3: Cross multiply
    1,709.02x = 2,563.62 × 539.06
  4. Step 4: Simplify right side
    1,709.02x = 1,381,933.19
  5. Step 5: Solve for x
    x = 1,381,933.19/1,709.02
  6. Step 6: Final answer
    x = 808.61

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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.