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Finding the Fourth Proportional to 977.92, 1,466.66 and 284.59

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Solution

The fourth proportional to 977.92, 1,466.66 and 284.59 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,466.66 = 284.59 : x
  2. Step 2: Convert to fraction form
    977.92/1,466.66 = 284.59/x
  3. Step 3: Cross multiply
    977.92x = 1,466.66 × 284.59
  4. Step 4: Simplify right side
    977.92x = 417,396.77
  5. Step 5: Solve for x
    x = 417,396.77/977.92
  6. Step 6: Final answer
    x = 426.82

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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.