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Finding the Fourth Proportional to 1,580.46, 2,370.54 and 484.86

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Solution

The fourth proportional to 1,580.46, 2,370.54 and 484.86 is: 727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.46 : 2,370.54 = 484.86 : x
  2. Step 2: Convert to fraction form
    1,580.46/2,370.54 = 484.86/x
  3. Step 3: Cross multiply
    1,580.46x = 2,370.54 × 484.86
  4. Step 4: Simplify right side
    1,580.46x = 1,149,380.02
  5. Step 5: Solve for x
    x = 1,149,380.02/1,580.46
  6. Step 6: Final answer
    x = 727.24

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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.