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Finding the Fourth Proportional to 709.46, 1,064.37 and 362.66

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Solution

The fourth proportional to 709.46, 1,064.37 and 362.66 is: 544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 1,064.37 = 362.66 : x
  2. Step 2: Convert to fraction form
    709.46/1,064.37 = 362.66/x
  3. Step 3: Cross multiply
    709.46x = 1,064.37 × 362.66
  4. Step 4: Simplify right side
    709.46x = 386,004.42
  5. Step 5: Solve for x
    x = 386,004.42/709.46
  6. Step 6: Final answer
    x = 544.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.