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Finding the Fourth Proportional to 1,021.51, 1,532.67 and 892.99

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Solution

The fourth proportional to 1,021.51, 1,532.67 and 892.99 is: 1,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.51 : 1,532.67 = 892.99 : x
  2. Step 2: Convert to fraction form
    1,021.51/1,532.67 = 892.99/x
  3. Step 3: Cross multiply
    1,021.51x = 1,532.67 × 892.99
  4. Step 4: Simplify right side
    1,021.51x = 1,368,658.98
  5. Step 5: Solve for x
    x = 1,368,658.98/1,021.51
  6. Step 6: Final answer
    x = 1,339.84

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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.