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Finding the Fourth Proportional to 1,021.41, 1,533.03 and 656.61

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Solution

The fourth proportional to 1,021.41, 1,533.03 and 656.61 is: 985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.41 : 1,533.03 = 656.61 : x
  2. Step 2: Convert to fraction form
    1,021.41/1,533.03 = 656.61/x
  3. Step 3: Cross multiply
    1,021.41x = 1,533.03 × 656.61
  4. Step 4: Simplify right side
    1,021.41x = 1,006,594.62
  5. Step 5: Solve for x
    x = 1,006,594.62/1,021.41
  6. Step 6: Final answer
    x = 985.50

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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.