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Finding the Fourth Proportional to 1,024.93, 1,536.99 and 662.05

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Solution

The fourth proportional to 1,024.93, 1,536.99 and 662.05 is: 992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.93 : 1,536.99 = 662.05 : x
  2. Step 2: Convert to fraction form
    1,024.93/1,536.99 = 662.05/x
  3. Step 3: Cross multiply
    1,024.93x = 1,536.99 × 662.05
  4. Step 4: Simplify right side
    1,024.93x = 1,017,564.23
  5. Step 5: Solve for x
    x = 1,017,564.23/1,024.93
  6. Step 6: Final answer
    x = 992.81

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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.