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Finding the Fourth Proportional to 1,050.66, 1,575.98 and 793.98

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Solution

The fourth proportional to 1,050.66, 1,575.98 and 793.98 is: 1,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.66 : 1,575.98 = 793.98 : x
  2. Step 2: Convert to fraction form
    1,050.66/1,575.98 = 793.98/x
  3. Step 3: Cross multiply
    1,050.66x = 1,575.98 × 793.98
  4. Step 4: Simplify right side
    1,050.66x = 1,251,292.63
  5. Step 5: Solve for x
    x = 1,251,292.63/1,050.66
  6. Step 6: Final answer
    x = 1,190.96

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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.