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Finding the Fourth Proportional to 980.86, 1,472.60 and 570.29

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Solution

The fourth proportional to 980.86, 1,472.60 and 570.29 is: 856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.86 : 1,472.60 = 570.29 : x
  2. Step 2: Convert to fraction form
    980.86/1,472.60 = 570.29/x
  3. Step 3: Cross multiply
    980.86x = 1,472.60 × 570.29
  4. Step 4: Simplify right side
    980.86x = 839,809.05
  5. Step 5: Solve for x
    x = 839,809.05/980.86
  6. Step 6: Final answer
    x = 856.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.