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Finding the Fourth Proportional to 1,024.84, 1,516.36 and 1,021.96

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Solution

The fourth proportional to 1,024.84, 1,516.36 and 1,021.96 is: 1,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.84 : 1,516.36 = 1,021.96 : x
  2. Step 2: Convert to fraction form
    1,024.84/1,516.36 = 1,021.96/x
  3. Step 3: Cross multiply
    1,024.84x = 1,516.36 × 1,021.96
  4. Step 4: Simplify right side
    1,024.84x = 1,549,659.27
  5. Step 5: Solve for x
    x = 1,549,659.27/1,024.84
  6. Step 6: Final answer
    x = 1,512.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.