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Finding the Fourth Proportional to 1,101.79, 1,652.53 and 321.59

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Solution

The fourth proportional to 1,101.79, 1,652.53 and 321.59 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.79 : 1,652.53 = 321.59 : x
  2. Step 2: Convert to fraction form
    1,101.79/1,652.53 = 321.59/x
  3. Step 3: Cross multiply
    1,101.79x = 1,652.53 × 321.59
  4. Step 4: Simplify right side
    1,101.79x = 531,427.25
  5. Step 5: Solve for x
    x = 531,427.25/1,101.79
  6. Step 6: Final answer
    x = 482.33

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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.