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Finding the Fourth Proportional to 1,022.91, 1,534.64 and 292.56

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Solution

The fourth proportional to 1,022.91, 1,534.64 and 292.56 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.91 : 1,534.64 = 292.56 : x
  2. Step 2: Convert to fraction form
    1,022.91/1,534.64 = 292.56/x
  3. Step 3: Cross multiply
    1,022.91x = 1,534.64 × 292.56
  4. Step 4: Simplify right side
    1,022.91x = 448,975.01
  5. Step 5: Solve for x
    x = 448,975.01/1,022.91
  6. Step 6: Final answer
    x = 438.92

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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.