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Finding the Fourth Proportional to 969.06, 1,337.48 and 570.75

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Solution

The fourth proportional to 969.06, 1,337.48 and 570.75 is: 787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,337.48 = 570.75 : x
  2. Step 2: Convert to fraction form
    969.06/1,337.48 = 570.75/x
  3. Step 3: Cross multiply
    969.06x = 1,337.48 × 570.75
  4. Step 4: Simplify right side
    969.06x = 763,360.98
  5. Step 5: Solve for x
    x = 763,360.98/969.06
  6. Step 6: Final answer
    x = 787.73

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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.