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Finding the Fourth Proportional to 709.93, 1,064.40 and 298.73

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Solution

The fourth proportional to 709.93, 1,064.40 and 298.73 is: 447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.93 : 1,064.40 = 298.73 : x
  2. Step 2: Convert to fraction form
    709.93/1,064.40 = 298.73/x
  3. Step 3: Cross multiply
    709.93x = 1,064.40 × 298.73
  4. Step 4: Simplify right side
    709.93x = 317,968.21
  5. Step 5: Solve for x
    x = 317,968.21/709.93
  6. Step 6: Final answer
    x = 447.89

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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.