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Finding the Fourth Proportional to 1,069.24, 1,602.48 and 548.80

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Solution

The fourth proportional to 1,069.24, 1,602.48 and 548.80 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.24 : 1,602.48 = 548.80 : x
  2. Step 2: Convert to fraction form
    1,069.24/1,602.48 = 548.80/x
  3. Step 3: Cross multiply
    1,069.24x = 1,602.48 × 548.80
  4. Step 4: Simplify right side
    1,069.24x = 879,441.02
  5. Step 5: Solve for x
    x = 879,441.02/1,069.24
  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.