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Finding the Fourth Proportional to 999.68, 1,499.54 and 414.77

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Solution

The fourth proportional to 999.68, 1,499.54 and 414.77 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.68 : 1,499.54 = 414.77 : x
  2. Step 2: Convert to fraction form
    999.68/1,499.54 = 414.77/x
  3. Step 3: Cross multiply
    999.68x = 1,499.54 × 414.77
  4. Step 4: Simplify right side
    999.68x = 621,954.63
  5. Step 5: Solve for x
    x = 621,954.63/999.68
  6. Step 6: Final answer
    x = 622.16

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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.