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Finding the Fourth Proportional to 955.52, 1,433.69 and 522.17

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Solution

The fourth proportional to 955.52, 1,433.69 and 522.17 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.52 : 1,433.69 = 522.17 : x
  2. Step 2: Convert to fraction form
    955.52/1,433.69 = 522.17/x
  3. Step 3: Cross multiply
    955.52x = 1,433.69 × 522.17
  4. Step 4: Simplify right side
    955.52x = 748,632.84
  5. Step 5: Solve for x
    x = 748,632.84/955.52
  6. Step 6: Final answer
    x = 783.48

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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.