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Finding the Fourth Proportional to 704.68, 1,057.14 and 415.78

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Solution

The fourth proportional to 704.68, 1,057.14 and 415.78 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 1,057.14 = 415.78 : x
  2. Step 2: Convert to fraction form
    704.68/1,057.14 = 415.78/x
  3. Step 3: Cross multiply
    704.68x = 1,057.14 × 415.78
  4. Step 4: Simplify right side
    704.68x = 439,537.67
  5. Step 5: Solve for x
    x = 439,537.67/704.68
  6. Step 6: Final answer
    x = 623.74

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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.