Home / 1,024.69-1,537.09-294.29

Finding the Fourth Proportional to 1,024.69, 1,537.09 and 294.29

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Solution

The fourth proportional to 1,024.69, 1,537.09 and 294.29 is: 441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.69 : 1,537.09 = 294.29 : x
  2. Step 2: Convert to fraction form
    1,024.69/1,537.09 = 294.29/x
  3. Step 3: Cross multiply
    1,024.69x = 1,537.09 × 294.29
  4. Step 4: Simplify right side
    1,024.69x = 452,341.06
  5. Step 5: Solve for x
    x = 452,341.06/1,024.69
  6. Step 6: Final answer
    x = 441.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.