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Finding the Fourth Proportional to 977.96, 1,466.12 and 429.73

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Solution

The fourth proportional to 977.96, 1,466.12 and 429.73 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,466.12 = 429.73 : x
  2. Step 2: Convert to fraction form
    977.96/1,466.12 = 429.73/x
  3. Step 3: Cross multiply
    977.96x = 1,466.12 × 429.73
  4. Step 4: Simplify right side
    977.96x = 630,033.16
  5. Step 5: Solve for x
    x = 630,033.16/977.96
  6. Step 6: Final answer
    x = 644.23

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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.