Home / 1,029.10-1,420.01-580.97

Finding the Fourth Proportional to 1,029.10, 1,420.01 and 580.97

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Solution

The fourth proportional to 1,029.10, 1,420.01 and 580.97 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.10 : 1,420.01 = 580.97 : x
  2. Step 2: Convert to fraction form
    1,029.10/1,420.01 = 580.97/x
  3. Step 3: Cross multiply
    1,029.10x = 1,420.01 × 580.97
  4. Step 4: Simplify right side
    1,029.10x = 824,983.21
  5. Step 5: Solve for x
    x = 824,983.21/1,029.10
  6. Step 6: Final answer
    x = 801.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.