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Finding the Fourth Proportional to 1,270.46, 1,906.77 and 501.50

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Solution

The fourth proportional to 1,270.46, 1,906.77 and 501.50 is: 752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.46 : 1,906.77 = 501.50 : x
  2. Step 2: Convert to fraction form
    1,270.46/1,906.77 = 501.50/x
  3. Step 3: Cross multiply
    1,270.46x = 1,906.77 × 501.50
  4. Step 4: Simplify right side
    1,270.46x = 956,245.16
  5. Step 5: Solve for x
    x = 956,245.16/1,270.46
  6. Step 6: Final answer
    x = 752.68

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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.