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Finding the Fourth Proportional to 1,050.12, 1,571.60 and 659.96

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Solution

The fourth proportional to 1,050.12, 1,571.60 and 659.96 is: 987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.12 : 1,571.60 = 659.96 : x
  2. Step 2: Convert to fraction form
    1,050.12/1,571.60 = 659.96/x
  3. Step 3: Cross multiply
    1,050.12x = 1,571.60 × 659.96
  4. Step 4: Simplify right side
    1,050.12x = 1,037,193.14
  5. Step 5: Solve for x
    x = 1,037,193.14/1,050.12
  6. Step 6: Final answer
    x = 987.69

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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.