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Finding the Fourth Proportional to 1,207.56, 1,812.06 and 438.12

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Solution

The fourth proportional to 1,207.56, 1,812.06 and 438.12 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.56 : 1,812.06 = 438.12 : x
  2. Step 2: Convert to fraction form
    1,207.56/1,812.06 = 438.12/x
  3. Step 3: Cross multiply
    1,207.56x = 1,812.06 × 438.12
  4. Step 4: Simplify right side
    1,207.56x = 793,899.73
  5. Step 5: Solve for x
    x = 793,899.73/1,207.56
  6. Step 6: Final answer
    x = 657.44

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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.