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Finding the Fourth Proportional to 1,709.76, 2,564.03 and 539.41

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Solution

The fourth proportional to 1,709.76, 2,564.03 and 539.41 is: 808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.76 : 2,564.03 = 539.41 : x
  2. Step 2: Convert to fraction form
    1,709.76/2,564.03 = 539.41/x
  3. Step 3: Cross multiply
    1,709.76x = 2,564.03 × 539.41
  4. Step 4: Simplify right side
    1,709.76x = 1,383,054.32
  5. Step 5: Solve for x
    x = 1,383,054.32/1,709.76
  6. Step 6: Final answer
    x = 808.92

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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.