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Finding the Fourth Proportional to 818.36, 1,224.66 and 570.36

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Solution

The fourth proportional to 818.36, 1,224.66 and 570.36 is: 853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.36 : 1,224.66 = 570.36 : x
  2. Step 2: Convert to fraction form
    818.36/1,224.66 = 570.36/x
  3. Step 3: Cross multiply
    818.36x = 1,224.66 × 570.36
  4. Step 4: Simplify right side
    818.36x = 698,497.08
  5. Step 5: Solve for x
    x = 698,497.08/818.36
  6. Step 6: Final answer
    x = 853.53

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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.