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Finding the Fourth Proportional to 978.09, 1,467.21 and 284.77

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Solution

The fourth proportional to 978.09, 1,467.21 and 284.77 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.09 : 1,467.21 = 284.77 : x
  2. Step 2: Convert to fraction form
    978.09/1,467.21 = 284.77/x
  3. Step 3: Cross multiply
    978.09x = 1,467.21 × 284.77
  4. Step 4: Simplify right side
    978.09x = 417,817.39
  5. Step 5: Solve for x
    x = 417,817.39/978.09
  6. Step 6: Final answer
    x = 427.18

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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.