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Finding the Fourth Proportional to 709.66, 1,064.90 and 293.27

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Solution

The fourth proportional to 709.66, 1,064.90 and 293.27 is: 440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.66 : 1,064.90 = 293.27 : x
  2. Step 2: Convert to fraction form
    709.66/1,064.90 = 293.27/x
  3. Step 3: Cross multiply
    709.66x = 1,064.90 × 293.27
  4. Step 4: Simplify right side
    709.66x = 312,302.97
  5. Step 5: Solve for x
    x = 312,302.97/709.66
  6. Step 6: Final answer
    x = 440.07

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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.