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Finding the Fourth Proportional to 709.17, 979.04 and 460.64

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Solution

The fourth proportional to 709.17, 979.04 and 460.64 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.17 : 979.04 = 460.64 : x
  2. Step 2: Convert to fraction form
    709.17/979.04 = 460.64/x
  3. Step 3: Cross multiply
    709.17x = 979.04 × 460.64
  4. Step 4: Simplify right side
    709.17x = 450,977.79
  5. Step 5: Solve for x
    x = 450,977.79/709.17
  6. Step 6: Final answer
    x = 635.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.