Home / 1,023.84-1,514.88-1,020.96

Finding the Fourth Proportional to 1,023.84, 1,514.88 and 1,020.96

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Solution

The fourth proportional to 1,023.84, 1,514.88 and 1,020.96 is: 1,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.84 : 1,514.88 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    1,023.84/1,514.88 = 1,020.96/x
  3. Step 3: Cross multiply
    1,023.84x = 1,514.88 × 1,020.96
  4. Step 4: Simplify right side
    1,023.84x = 1,546,631.88
  5. Step 5: Solve for x
    x = 1,546,631.88/1,023.84
  6. Step 6: Final answer
    x = 1,510.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.