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Finding the Fourth Proportional to 704.48, 1,057.17 and 380.07

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Solution

The fourth proportional to 704.48, 1,057.17 and 380.07 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.48 : 1,057.17 = 380.07 : x
  2. Step 2: Convert to fraction form
    704.48/1,057.17 = 380.07/x
  3. Step 3: Cross multiply
    704.48x = 1,057.17 × 380.07
  4. Step 4: Simplify right side
    704.48x = 401,798.60
  5. Step 5: Solve for x
    x = 401,798.60/704.48
  6. Step 6: Final answer
    x = 570.35

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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.