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Finding the Fourth Proportional to 1,022.43, 1,401.13 and 924.02

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Solution

The fourth proportional to 1,022.43, 1,401.13 and 924.02 is: 1,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.43 : 1,401.13 = 924.02 : x
  2. Step 2: Convert to fraction form
    1,022.43/1,401.13 = 924.02/x
  3. Step 3: Cross multiply
    1,022.43x = 1,401.13 × 924.02
  4. Step 4: Simplify right side
    1,022.43x = 1,294,664.02
  5. Step 5: Solve for x
    x = 1,294,664.02/1,022.43
  6. Step 6: Final answer
    x = 1,266.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.