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Finding the Fourth Proportional to 1,370.75, 2,056.23 and 493.16

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Solution

The fourth proportional to 1,370.75, 2,056.23 and 493.16 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.75 : 2,056.23 = 493.16 : x
  2. Step 2: Convert to fraction form
    1,370.75/2,056.23 = 493.16/x
  3. Step 3: Cross multiply
    1,370.75x = 2,056.23 × 493.16
  4. Step 4: Simplify right side
    1,370.75x = 1,014,040.11
  5. Step 5: Solve for x
    x = 1,014,040.11/1,370.75
  6. Step 6: Final answer
    x = 739.77

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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.