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Finding the Fourth Proportional to 1,050.80, 1,450.32 and 801.76

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Solution

The fourth proportional to 1,050.80, 1,450.32 and 801.76 is: 1,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.80 : 1,450.32 = 801.76 : x
  2. Step 2: Convert to fraction form
    1,050.80/1,450.32 = 801.76/x
  3. Step 3: Cross multiply
    1,050.80x = 1,450.32 × 801.76
  4. Step 4: Simplify right side
    1,050.80x = 1,162,808.56
  5. Step 5: Solve for x
    x = 1,162,808.56/1,050.80
  6. Step 6: Final answer
    x = 1,106.59

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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.