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Finding the Fourth Proportional to 1,409.74, 2,114.30 and 485.22

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Solution

The fourth proportional to 1,409.74, 2,114.30 and 485.22 is: 727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.74 : 2,114.30 = 485.22 : x
  2. Step 2: Convert to fraction form
    1,409.74/2,114.30 = 485.22/x
  3. Step 3: Cross multiply
    1,409.74x = 2,114.30 × 485.22
  4. Step 4: Simplify right side
    1,409.74x = 1,025,909.79
  5. Step 5: Solve for x
    x = 1,025,909.79/1,409.74
  6. Step 6: Final answer
    x = 727.73

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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.