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Finding the Fourth Proportional to 1,022.63, 1,533.78 and 292.23

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Solution

The fourth proportional to 1,022.63, 1,533.78 and 292.23 is: 438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.63 : 1,533.78 = 292.23 : x
  2. Step 2: Convert to fraction form
    1,022.63/1,533.78 = 292.23/x
  3. Step 3: Cross multiply
    1,022.63x = 1,533.78 × 292.23
  4. Step 4: Simplify right side
    1,022.63x = 448,216.53
  5. Step 5: Solve for x
    x = 448,216.53/1,022.63
  6. Step 6: Final answer
    x = 438.30

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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.