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Finding the Fourth Proportional to 815.58, 1,222.41 and 522.70

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Solution

The fourth proportional to 815.58, 1,222.41 and 522.70 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.58 : 1,222.41 = 522.70 : x
  2. Step 2: Convert to fraction form
    815.58/1,222.41 = 522.70/x
  3. Step 3: Cross multiply
    815.58x = 1,222.41 × 522.70
  4. Step 4: Simplify right side
    815.58x = 638,953.71
  5. Step 5: Solve for x
    x = 638,953.71/815.58
  6. Step 6: Final answer
    x = 783.43

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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.