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Finding the Fourth Proportional to 704.81, 1,056.90 and 412.61

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Solution

The fourth proportional to 704.81, 1,056.90 and 412.61 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.81 : 1,056.90 = 412.61 : x
  2. Step 2: Convert to fraction form
    704.81/1,056.90 = 412.61/x
  3. Step 3: Cross multiply
    704.81x = 1,056.90 × 412.61
  4. Step 4: Simplify right side
    704.81x = 436,087.51
  5. Step 5: Solve for x
    x = 436,087.51/704.81
  6. Step 6: Final answer
    x = 618.73

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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.