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Finding the Fourth Proportional to 1,370.67, 2,056.20 and 504.91

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Solution

The fourth proportional to 1,370.67, 2,056.20 and 504.91 is: 757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.67 : 2,056.20 = 504.91 : x
  2. Step 2: Convert to fraction form
    1,370.67/2,056.20 = 504.91/x
  3. Step 3: Cross multiply
    1,370.67x = 2,056.20 × 504.91
  4. Step 4: Simplify right side
    1,370.67x = 1,038,195.94
  5. Step 5: Solve for x
    x = 1,038,195.94/1,370.67
  6. Step 6: Final answer
    x = 757.44

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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.