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Finding the Fourth Proportional to 1,022.72, 1,533.85 and 292.28

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Solution

The fourth proportional to 1,022.72, 1,533.85 and 292.28 is: 438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.72 : 1,533.85 = 292.28 : x
  2. Step 2: Convert to fraction form
    1,022.72/1,533.85 = 292.28/x
  3. Step 3: Cross multiply
    1,022.72x = 1,533.85 × 292.28
  4. Step 4: Simplify right side
    1,022.72x = 448,313.68
  5. Step 5: Solve for x
    x = 448,313.68/1,022.72
  6. Step 6: Final answer
    x = 438.35

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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.