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Finding the Fourth Proportional to 978.98, 1,467.21 and 684.19

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Solution

The fourth proportional to 978.98, 1,467.21 and 684.19 is: 1,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.98 : 1,467.21 = 684.19 : x
  2. Step 2: Convert to fraction form
    978.98/1,467.21 = 684.19/x
  3. Step 3: Cross multiply
    978.98x = 1,467.21 × 684.19
  4. Step 4: Simplify right side
    978.98x = 1,003,846.74
  5. Step 5: Solve for x
    x = 1,003,846.74/978.98
  6. Step 6: Final answer
    x = 1,025.41

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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.