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Finding the Fourth Proportional to 1,303.09, 1,951.39 and 1,087.63

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Solution

The fourth proportional to 1,303.09, 1,951.39 and 1,087.63 is: 1,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.09 : 1,951.39 = 1,087.63 : x
  2. Step 2: Convert to fraction form
    1,303.09/1,951.39 = 1,087.63/x
  3. Step 3: Cross multiply
    1,303.09x = 1,951.39 × 1,087.63
  4. Step 4: Simplify right side
    1,303.09x = 2,122,390.31
  5. Step 5: Solve for x
    x = 2,122,390.31/1,303.09
  6. Step 6: Final answer
    x = 1,628.74

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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.