Home / 1,493.03-2,060.31-829.93

Finding the Fourth Proportional to 1,493.03, 2,060.31 and 829.93

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Solution

The fourth proportional to 1,493.03, 2,060.31 and 829.93 is: 1,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.03 : 2,060.31 = 829.93 : x
  2. Step 2: Convert to fraction form
    1,493.03/2,060.31 = 829.93/x
  3. Step 3: Cross multiply
    1,493.03x = 2,060.31 × 829.93
  4. Step 4: Simplify right side
    1,493.03x = 1,709,913.08
  5. Step 5: Solve for x
    x = 1,709,913.08/1,493.03
  6. Step 6: Final answer
    x = 1,145.26

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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.