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Finding the Fourth Proportional to 1,022.32, 1,533.52 and 611.74

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Solution

The fourth proportional to 1,022.32, 1,533.52 and 611.74 is: 917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.32 : 1,533.52 = 611.74 : x
  2. Step 2: Convert to fraction form
    1,022.32/1,533.52 = 611.74/x
  3. Step 3: Cross multiply
    1,022.32x = 1,533.52 × 611.74
  4. Step 4: Simplify right side
    1,022.32x = 938,115.52
  5. Step 5: Solve for x
    x = 938,115.52/1,022.32
  6. Step 6: Final answer
    x = 917.63

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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.