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Finding the Fourth Proportional to 709.05, 978.30 and 488.19

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Solution

The fourth proportional to 709.05, 978.30 and 488.19 is: 673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 978.30 = 488.19 : x
  2. Step 2: Convert to fraction form
    709.05/978.30 = 488.19/x
  3. Step 3: Cross multiply
    709.05x = 978.30 × 488.19
  4. Step 4: Simplify right side
    709.05x = 477,596.28
  5. Step 5: Solve for x
    x = 477,596.28/709.05
  6. Step 6: Final answer
    x = 673.57

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Why These Related Problems?

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