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Finding the Fourth Proportional to 1,645.77, 2,468.07 and 549.84

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Solution

The fourth proportional to 1,645.77, 2,468.07 and 549.84 is: 824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.77 : 2,468.07 = 549.84 : x
  2. Step 2: Convert to fraction form
    1,645.77/2,468.07 = 549.84/x
  3. Step 3: Cross multiply
    1,645.77x = 2,468.07 × 549.84
  4. Step 4: Simplify right side
    1,645.77x = 1,357,043.61
  5. Step 5: Solve for x
    x = 1,357,043.61/1,645.77
  6. Step 6: Final answer
    x = 824.56

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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.