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Finding the Fourth Proportional to 977.72, 1,466.69 and 284.40

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Solution

The fourth proportional to 977.72, 1,466.69 and 284.40 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,466.69 = 284.40 : x
  2. Step 2: Convert to fraction form
    977.72/1,466.69 = 284.40/x
  3. Step 3: Cross multiply
    977.72x = 1,466.69 × 284.40
  4. Step 4: Simplify right side
    977.72x = 417,125.21
  5. Step 5: Solve for x
    x = 417,125.21/977.72
  6. Step 6: Final answer
    x = 426.63

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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.