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Finding the Fourth Proportional to 674.46, 1,012.02 and 623.46

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Solution

The fourth proportional to 674.46, 1,012.02 and 623.46 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 1,012.02 = 623.46 : x
  2. Step 2: Convert to fraction form
    674.46/1,012.02 = 623.46/x
  3. Step 3: Cross multiply
    674.46x = 1,012.02 × 623.46
  4. Step 4: Simplify right side
    674.46x = 630,953.99
  5. Step 5: Solve for x
    x = 630,953.99/674.46
  6. Step 6: Final answer
    x = 935.50

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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.