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Finding the Fourth Proportional to 955.44, 1,433.16 and 522.36

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Solution

The fourth proportional to 955.44, 1,433.16 and 522.36 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.44 : 1,433.16 = 522.36 : x
  2. Step 2: Convert to fraction form
    955.44/1,433.16 = 522.36/x
  3. Step 3: Cross multiply
    955.44x = 1,433.16 × 522.36
  4. Step 4: Simplify right side
    955.44x = 748,625.46
  5. Step 5: Solve for x
    x = 748,625.46/955.44
  6. Step 6: Final answer
    x = 783.54

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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.