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Finding the Fourth Proportional to 983.94, 1,476.44 and 522.10

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Solution

The fourth proportional to 983.94, 1,476.44 and 522.10 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.94 : 1,476.44 = 522.10 : x
  2. Step 2: Convert to fraction form
    983.94/1,476.44 = 522.10/x
  3. Step 3: Cross multiply
    983.94x = 1,476.44 × 522.10
  4. Step 4: Simplify right side
    983.94x = 770,849.32
  5. Step 5: Solve for x
    x = 770,849.32/983.94
  6. Step 6: Final answer
    x = 783.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.