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Finding the Fourth Proportional to 1,021.17, 1,529.31 and 815.91

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Solution

The fourth proportional to 1,021.17, 1,529.31 and 815.91 is: 1,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.17 : 1,529.31 = 815.91 : x
  2. Step 2: Convert to fraction form
    1,021.17/1,529.31 = 815.91/x
  3. Step 3: Cross multiply
    1,021.17x = 1,529.31 × 815.91
  4. Step 4: Simplify right side
    1,021.17x = 1,247,779.32
  5. Step 5: Solve for x
    x = 1,247,779.32/1,021.17
  6. Step 6: Final answer
    x = 1,221.91

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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.