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Finding the Fourth Proportional to 1,300.41, 1,951.52 and 751.83

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Solution

The fourth proportional to 1,300.41, 1,951.52 and 751.83 is: 1,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.41 : 1,951.52 = 751.83 : x
  2. Step 2: Convert to fraction form
    1,300.41/1,951.52 = 751.83/x
  3. Step 3: Cross multiply
    1,300.41x = 1,951.52 × 751.83
  4. Step 4: Simplify right side
    1,300.41x = 1,467,216.16
  5. Step 5: Solve for x
    x = 1,467,216.16/1,300.41
  6. Step 6: Final answer
    x = 1,128.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.