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Finding the Fourth Proportional to 1,409.34, 2,112.34 and 657.84

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Solution

The fourth proportional to 1,409.34, 2,112.34 and 657.84 is: 985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.34 : 2,112.34 = 657.84 : x
  2. Step 2: Convert to fraction form
    1,409.34/2,112.34 = 657.84/x
  3. Step 3: Cross multiply
    1,409.34x = 2,112.34 × 657.84
  4. Step 4: Simplify right side
    1,409.34x = 1,389,581.75
  5. Step 5: Solve for x
    x = 1,389,581.75/1,409.34
  6. Step 6: Final answer
    x = 985.98

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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.