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Finding the Fourth Proportional to 955.42, 1,433.14 and 522.50

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Solution

The fourth proportional to 955.42, 1,433.14 and 522.50 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.42 : 1,433.14 = 522.50 : x
  2. Step 2: Convert to fraction form
    955.42/1,433.14 = 522.50/x
  3. Step 3: Cross multiply
    955.42x = 1,433.14 × 522.50
  4. Step 4: Simplify right side
    955.42x = 748,815.65
  5. Step 5: Solve for x
    x = 748,815.65/955.42
  6. Step 6: Final answer
    x = 783.76

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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.