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Finding the Fourth Proportional to 1,022.45, 1,533.22 and 291.86

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Solution

The fourth proportional to 1,022.45, 1,533.22 and 291.86 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.45 : 1,533.22 = 291.86 : x
  2. Step 2: Convert to fraction form
    1,022.45/1,533.22 = 291.86/x
  3. Step 3: Cross multiply
    1,022.45x = 1,533.22 × 291.86
  4. Step 4: Simplify right side
    1,022.45x = 447,477.19
  5. Step 5: Solve for x
    x = 447,477.19/1,022.45
  6. Step 6: Final answer
    x = 437.65

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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.