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Finding the Fourth Proportional to 970.43, 1,339.22 and 572.12

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Solution

The fourth proportional to 970.43, 1,339.22 and 572.12 is: 789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.43 : 1,339.22 = 572.12 : x
  2. Step 2: Convert to fraction form
    970.43/1,339.22 = 572.12/x
  3. Step 3: Cross multiply
    970.43x = 1,339.22 × 572.12
  4. Step 4: Simplify right side
    970.43x = 766,184.99
  5. Step 5: Solve for x
    x = 766,184.99/970.43
  6. Step 6: Final answer
    x = 789.54

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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.