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Finding the Fourth Proportional to 1,064.73, 1,596.21 and 480.03

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Solution

The fourth proportional to 1,064.73, 1,596.21 and 480.03 is: 719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.73 : 1,596.21 = 480.03 : x
  2. Step 2: Convert to fraction form
    1,064.73/1,596.21 = 480.03/x
  3. Step 3: Cross multiply
    1,064.73x = 1,596.21 × 480.03
  4. Step 4: Simplify right side
    1,064.73x = 766,228.69
  5. Step 5: Solve for x
    x = 766,228.69/1,064.73
  6. Step 6: Final answer
    x = 719.65

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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.