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Finding the Fourth Proportional to 775.03, 1,069.53 and 420.96

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Solution

The fourth proportional to 775.03, 1,069.53 and 420.96 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.03 : 1,069.53 = 420.96 : x
  2. Step 2: Convert to fraction form
    775.03/1,069.53 = 420.96/x
  3. Step 3: Cross multiply
    775.03x = 1,069.53 × 420.96
  4. Step 4: Simplify right side
    775.03x = 450,225.05
  5. Step 5: Solve for x
    x = 450,225.05/775.03
  6. Step 6: Final answer
    x = 580.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.