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Finding the Fourth Proportional to 1,350.50, 2,026.13 and 473.13

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Solution

The fourth proportional to 1,350.50, 2,026.13 and 473.13 is: 709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.50 : 2,026.13 = 473.13 : x
  2. Step 2: Convert to fraction form
    1,350.50/2,026.13 = 473.13/x
  3. Step 3: Cross multiply
    1,350.50x = 2,026.13 × 473.13
  4. Step 4: Simplify right side
    1,350.50x = 958,620.52
  5. Step 5: Solve for x
    x = 958,620.52/1,350.50
  6. Step 6: Final answer
    x = 709.83

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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.