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Finding the Fourth Proportional to 999.60, 1,499.40 and 414.18

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Solution

The fourth proportional to 999.60, 1,499.40 and 414.18 is: 621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.60 : 1,499.40 = 414.18 : x
  2. Step 2: Convert to fraction form
    999.60/1,499.40 = 414.18/x
  3. Step 3: Cross multiply
    999.60x = 1,499.40 × 414.18
  4. Step 4: Simplify right side
    999.60x = 621,021.49
  5. Step 5: Solve for x
    x = 621,021.49/999.60
  6. Step 6: Final answer
    x = 621.27

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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.