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Finding the Fourth Proportional to 1,450.76, 2,000.83 and 953.01

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Solution

The fourth proportional to 1,450.76, 2,000.83 and 953.01 is: 1,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.76 : 2,000.83 = 953.01 : x
  2. Step 2: Convert to fraction form
    1,450.76/2,000.83 = 953.01/x
  3. Step 3: Cross multiply
    1,450.76x = 2,000.83 × 953.01
  4. Step 4: Simplify right side
    1,450.76x = 1,906,811.00
  5. Step 5: Solve for x
    x = 1,906,811.00/1,450.76
  6. Step 6: Final answer
    x = 1,314.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.