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Finding the Fourth Proportional to 1,645.76, 2,468.09 and 549.83

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Solution

The fourth proportional to 1,645.76, 2,468.09 and 549.83 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.76 : 2,468.09 = 549.83 : x
  2. Step 2: Convert to fraction form
    1,645.76/2,468.09 = 549.83/x
  3. Step 3: Cross multiply
    1,645.76x = 2,468.09 × 549.83
  4. Step 4: Simplify right side
    1,645.76x = 1,357,014.84
  5. Step 5: Solve for x
    x = 1,357,014.84/1,645.76
  6. Step 6: Final answer
    x = 824.55

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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.