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Finding the Fourth Proportional to 955.50, 1,433.79 and 442.50

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Solution

The fourth proportional to 955.50, 1,433.79 and 442.50 is: 664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.50 : 1,433.79 = 442.50 : x
  2. Step 2: Convert to fraction form
    955.50/1,433.79 = 442.50/x
  3. Step 3: Cross multiply
    955.50x = 1,433.79 × 442.50
  4. Step 4: Simplify right side
    955.50x = 634,452.08
  5. Step 5: Solve for x
    x = 634,452.08/955.50
  6. Step 6: Final answer
    x = 664.00

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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.