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Finding the Fourth Proportional to 1,022.76, 1,533.78 and 292.14

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Solution

The fourth proportional to 1,022.76, 1,533.78 and 292.14 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.76 : 1,533.78 = 292.14 : x
  2. Step 2: Convert to fraction form
    1,022.76/1,533.78 = 292.14/x
  3. Step 3: Cross multiply
    1,022.76x = 1,533.78 × 292.14
  4. Step 4: Simplify right side
    1,022.76x = 448,078.49
  5. Step 5: Solve for x
    x = 448,078.49/1,022.76
  6. Step 6: Final answer
    x = 438.11

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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.