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Finding the Fourth Proportional to 999.30, 1,378.50 and 606.24

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Solution

The fourth proportional to 999.30, 1,378.50 and 606.24 is: 836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.30 : 1,378.50 = 606.24 : x
  2. Step 2: Convert to fraction form
    999.30/1,378.50 = 606.24/x
  3. Step 3: Cross multiply
    999.30x = 1,378.50 × 606.24
  4. Step 4: Simplify right side
    999.30x = 835,701.84
  5. Step 5: Solve for x
    x = 835,701.84/999.30
  6. Step 6: Final answer
    x = 836.29

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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.