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Finding the Fourth Proportional to 848.22, 1,270.95 and 522.66

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Solution

The fourth proportional to 848.22, 1,270.95 and 522.66 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.22 : 1,270.95 = 522.66 : x
  2. Step 2: Convert to fraction form
    848.22/1,270.95 = 522.66/x
  3. Step 3: Cross multiply
    848.22x = 1,270.95 × 522.66
  4. Step 4: Simplify right side
    848.22x = 664,274.73
  5. Step 5: Solve for x
    x = 664,274.73/848.22
  6. Step 6: Final answer
    x = 783.14

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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.