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Finding the Fourth Proportional to 762.95, 1,143.64 and 300.54

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Solution

The fourth proportional to 762.95, 1,143.64 and 300.54 is: 450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.95 : 1,143.64 = 300.54 : x
  2. Step 2: Convert to fraction form
    762.95/1,143.64 = 300.54/x
  3. Step 3: Cross multiply
    762.95x = 1,143.64 × 300.54
  4. Step 4: Simplify right side
    762.95x = 343,714.23
  5. Step 5: Solve for x
    x = 343,714.23/762.95
  6. Step 6: Final answer
    x = 450.51

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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.