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Finding the Fourth Proportional to 643.67, 957.22 and 623.16

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Solution

The fourth proportional to 643.67, 957.22 and 623.16 is: 926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.67 : 957.22 = 623.16 : x
  2. Step 2: Convert to fraction form
    643.67/957.22 = 623.16/x
  3. Step 3: Cross multiply
    643.67x = 957.22 × 623.16
  4. Step 4: Simplify right side
    643.67x = 596,504.42
  5. Step 5: Solve for x
    x = 596,504.42/643.67
  6. Step 6: Final answer
    x = 926.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.