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Finding the Fourth Proportional to 964.24, 1,447.13 and 548.03

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Solution

The fourth proportional to 964.24, 1,447.13 and 548.03 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.24 : 1,447.13 = 548.03 : x
  2. Step 2: Convert to fraction form
    964.24/1,447.13 = 548.03/x
  3. Step 3: Cross multiply
    964.24x = 1,447.13 × 548.03
  4. Step 4: Simplify right side
    964.24x = 793,075.64
  5. Step 5: Solve for x
    x = 793,075.64/964.24
  6. Step 6: Final answer
    x = 822.49

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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.