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Finding the Fourth Proportional to 816.75, 1,127.39 and 522.45

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Solution

The fourth proportional to 816.75, 1,127.39 and 522.45 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,127.39 = 522.45 : x
  2. Step 2: Convert to fraction form
    816.75/1,127.39 = 522.45/x
  3. Step 3: Cross multiply
    816.75x = 1,127.39 × 522.45
  4. Step 4: Simplify right side
    816.75x = 589,002.29
  5. Step 5: Solve for x
    x = 589,002.29/816.75
  6. Step 6: Final answer
    x = 721.15

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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.