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Finding the Fourth Proportional to 1,297.84, 1,946.75 and 323.94

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Solution

The fourth proportional to 1,297.84, 1,946.75 and 323.94 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.84 : 1,946.75 = 323.94 : x
  2. Step 2: Convert to fraction form
    1,297.84/1,946.75 = 323.94/x
  3. Step 3: Cross multiply
    1,297.84x = 1,946.75 × 323.94
  4. Step 4: Simplify right side
    1,297.84x = 630,620.46
  5. Step 5: Solve for x
    x = 630,620.46/1,297.84
  6. Step 6: Final answer
    x = 485.90

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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.