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Finding the Fourth Proportional to 775.56, 1,160.82 and 570.08

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Solution

The fourth proportional to 775.56, 1,160.82 and 570.08 is: 853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.56 : 1,160.82 = 570.08 : x
  2. Step 2: Convert to fraction form
    775.56/1,160.82 = 570.08/x
  3. Step 3: Cross multiply
    775.56x = 1,160.82 × 570.08
  4. Step 4: Simplify right side
    775.56x = 661,760.27
  5. Step 5: Solve for x
    x = 661,760.27/775.56
  6. Step 6: Final answer
    x = 853.27

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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.