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Finding the Fourth Proportional to 977.92, 1,466.78 and 284.69

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Solution

The fourth proportional to 977.92, 1,466.78 and 284.69 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,466.78 = 284.69 : x
  2. Step 2: Convert to fraction form
    977.92/1,466.78 = 284.69/x
  3. Step 3: Cross multiply
    977.92x = 1,466.78 × 284.69
  4. Step 4: Simplify right side
    977.92x = 417,579.84
  5. Step 5: Solve for x
    x = 417,579.84/977.92
  6. Step 6: Final answer
    x = 427.01

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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.