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Finding the Fourth Proportional to 709.39, 1,064.09 and 420.63

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Solution

The fourth proportional to 709.39, 1,064.09 and 420.63 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.39 : 1,064.09 = 420.63 : x
  2. Step 2: Convert to fraction form
    709.39/1,064.09 = 420.63/x
  3. Step 3: Cross multiply
    709.39x = 1,064.09 × 420.63
  4. Step 4: Simplify right side
    709.39x = 447,588.18
  5. Step 5: Solve for x
    x = 447,588.18/709.39
  6. Step 6: Final answer
    x = 630.95

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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.