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Finding the Fourth Proportional to 1,300.14, 1,950.30 and 752.37

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Solution

The fourth proportional to 1,300.14, 1,950.30 and 752.37 is: 1,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.14 : 1,950.30 = 752.37 : x
  2. Step 2: Convert to fraction form
    1,300.14/1,950.30 = 752.37/x
  3. Step 3: Cross multiply
    1,300.14x = 1,950.30 × 752.37
  4. Step 4: Simplify right side
    1,300.14x = 1,467,347.21
  5. Step 5: Solve for x
    x = 1,467,347.21/1,300.14
  6. Step 6: Final answer
    x = 1,128.61

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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.