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Finding the Fourth Proportional to 999.95, 1,380.06 and 601.43

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Solution

The fourth proportional to 999.95, 1,380.06 and 601.43 is: 830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.95 : 1,380.06 = 601.43 : x
  2. Step 2: Convert to fraction form
    999.95/1,380.06 = 601.43/x
  3. Step 3: Cross multiply
    999.95x = 1,380.06 × 601.43
  4. Step 4: Simplify right side
    999.95x = 830,009.49
  5. Step 5: Solve for x
    x = 830,009.49/999.95
  6. Step 6: Final answer
    x = 830.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.