Home / 1,029.26-1,420.35-587.12

Finding the Fourth Proportional to 1,029.26, 1,420.35 and 587.12

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Solution

The fourth proportional to 1,029.26, 1,420.35 and 587.12 is: 810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,420.35 = 587.12 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,420.35 = 587.12/x
  3. Step 3: Cross multiply
    1,029.26x = 1,420.35 × 587.12
  4. Step 4: Simplify right side
    1,029.26x = 833,908.79
  5. Step 5: Solve for x
    x = 833,908.79/1,029.26
  6. Step 6: Final answer
    x = 810.21

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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.