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Finding the Fourth Proportional to 764.64, 1,145.88 and 548.10

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Solution

The fourth proportional to 764.64, 1,145.88 and 548.10 is: 821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,145.88 = 548.10 : x
  2. Step 2: Convert to fraction form
    764.64/1,145.88 = 548.10/x
  3. Step 3: Cross multiply
    764.64x = 1,145.88 × 548.10
  4. Step 4: Simplify right side
    764.64x = 628,056.83
  5. Step 5: Solve for x
    x = 628,056.83/764.64
  6. Step 6: Final answer
    x = 821.38

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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.