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Finding the Fourth Proportional to 1,370.85, 2,056.48 and 505.10

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Solution

The fourth proportional to 1,370.85, 2,056.48 and 505.10 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.85 : 2,056.48 = 505.10 : x
  2. Step 2: Convert to fraction form
    1,370.85/2,056.48 = 505.10/x
  3. Step 3: Cross multiply
    1,370.85x = 2,056.48 × 505.10
  4. Step 4: Simplify right side
    1,370.85x = 1,038,728.05
  5. Step 5: Solve for x
    x = 1,038,728.05/1,370.85
  6. Step 6: Final answer
    x = 757.73

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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.