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Finding the Fourth Proportional to 1,022.84, 1,534.29 and 282.51

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Solution

The fourth proportional to 1,022.84, 1,534.29 and 282.51 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,534.29 = 282.51 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,534.29 = 282.51/x
  3. Step 3: Cross multiply
    1,022.84x = 1,534.29 × 282.51
  4. Step 4: Simplify right side
    1,022.84x = 433,452.27
  5. Step 5: Solve for x
    x = 433,452.27/1,022.84
  6. Step 6: Final answer
    x = 423.78

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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.