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Finding the Fourth Proportional to 709.79, 1,064.23 and 298.82

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Solution

The fourth proportional to 709.79, 1,064.23 and 298.82 is: 448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.79 : 1,064.23 = 298.82 : x
  2. Step 2: Convert to fraction form
    709.79/1,064.23 = 298.82/x
  3. Step 3: Cross multiply
    709.79x = 1,064.23 × 298.82
  4. Step 4: Simplify right side
    709.79x = 318,009.98
  5. Step 5: Solve for x
    x = 318,009.98/709.79
  6. Step 6: Final answer
    x = 448.03

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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.