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Finding the Fourth Proportional to 1,548.36, 2,322.18 and 522.36

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Solution

The fourth proportional to 1,548.36, 2,322.18 and 522.36 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.36 : 2,322.18 = 522.36 : x
  2. Step 2: Convert to fraction form
    1,548.36/2,322.18 = 522.36/x
  3. Step 3: Cross multiply
    1,548.36x = 2,322.18 × 522.36
  4. Step 4: Simplify right side
    1,548.36x = 1,213,013.94
  5. Step 5: Solve for x
    x = 1,213,013.94/1,548.36
  6. Step 6: Final answer
    x = 783.42

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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.