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Finding the Fourth Proportional to 762.45, 1,142.74 and 415.02

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Solution

The fourth proportional to 762.45, 1,142.74 and 415.02 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.45 : 1,142.74 = 415.02 : x
  2. Step 2: Convert to fraction form
    762.45/1,142.74 = 415.02/x
  3. Step 3: Cross multiply
    762.45x = 1,142.74 × 415.02
  4. Step 4: Simplify right side
    762.45x = 474,264.76
  5. Step 5: Solve for x
    x = 474,264.76/762.45
  6. Step 6: Final answer
    x = 622.03

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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.