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Finding the Fourth Proportional to 1,022.31, 1,533.46 and 291.88

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Solution

The fourth proportional to 1,022.31, 1,533.46 and 291.88 is: 437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.31 : 1,533.46 = 291.88 : x
  2. Step 2: Convert to fraction form
    1,022.31/1,533.46 = 291.88/x
  3. Step 3: Cross multiply
    1,022.31x = 1,533.46 × 291.88
  4. Step 4: Simplify right side
    1,022.31x = 447,594.46
  5. Step 5: Solve for x
    x = 447,594.46/1,022.31
  6. Step 6: Final answer
    x = 437.83

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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.