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Finding the Fourth Proportional to 1,022.45, 1,533.94 and 292.08

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Solution

The fourth proportional to 1,022.45, 1,533.94 and 292.08 is: 438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.45 : 1,533.94 = 292.08 : x
  2. Step 2: Convert to fraction form
    1,022.45/1,533.94 = 292.08/x
  3. Step 3: Cross multiply
    1,022.45x = 1,533.94 × 292.08
  4. Step 4: Simplify right side
    1,022.45x = 448,033.90
  5. Step 5: Solve for x
    x = 448,033.90/1,022.45
  6. Step 6: Final answer
    x = 438.20

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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.