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Finding the Fourth Proportional to 1,409.34, 2,113.88 and 484.91

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Solution

The fourth proportional to 1,409.34, 2,113.88 and 484.91 is: 727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.34 : 2,113.88 = 484.91 : x
  2. Step 2: Convert to fraction form
    1,409.34/2,113.88 = 484.91/x
  3. Step 3: Cross multiply
    1,409.34x = 2,113.88 × 484.91
  4. Step 4: Simplify right side
    1,409.34x = 1,025,028.56
  5. Step 5: Solve for x
    x = 1,025,028.56/1,409.34
  6. Step 6: Final answer
    x = 727.31

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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.