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Finding the Fourth Proportional to 1,409.76, 2,114.91 and 485.10

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Solution

The fourth proportional to 1,409.76, 2,114.91 and 485.10 is: 727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.76 : 2,114.91 = 485.10 : x
  2. Step 2: Convert to fraction form
    1,409.76/2,114.91 = 485.10/x
  3. Step 3: Cross multiply
    1,409.76x = 2,114.91 × 485.10
  4. Step 4: Simplify right side
    1,409.76x = 1,025,942.84
  5. Step 5: Solve for x
    x = 1,025,942.84/1,409.76
  6. Step 6: Final answer
    x = 727.74

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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.