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Finding the Fourth Proportional to 647.22, 968.49 and 570.69

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Solution

The fourth proportional to 647.22, 968.49 and 570.69 is: 853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 968.49 = 570.69 : x
  2. Step 2: Convert to fraction form
    647.22/968.49 = 570.69/x
  3. Step 3: Cross multiply
    647.22x = 968.49 × 570.69
  4. Step 4: Simplify right side
    647.22x = 552,707.56
  5. Step 5: Solve for x
    x = 552,707.56/647.22
  6. Step 6: Final answer
    x = 853.97

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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.