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Finding the Fourth Proportional to 1,207.84, 1,812.12 and 438.40

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Solution

The fourth proportional to 1,207.84, 1,812.12 and 438.40 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.84 : 1,812.12 = 438.40 : x
  2. Step 2: Convert to fraction form
    1,207.84/1,812.12 = 438.40/x
  3. Step 3: Cross multiply
    1,207.84x = 1,812.12 × 438.40
  4. Step 4: Simplify right side
    1,207.84x = 794,433.41
  5. Step 5: Solve for x
    x = 794,433.41/1,207.84
  6. Step 6: Final answer
    x = 657.73

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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.