Home / 1,029.25-1,420.40-563.53

Finding the Fourth Proportional to 1,029.25, 1,420.40 and 563.53

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Solution

The fourth proportional to 1,029.25, 1,420.40 and 563.53 is: 777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.25 : 1,420.40 = 563.53 : x
  2. Step 2: Convert to fraction form
    1,029.25/1,420.40 = 563.53/x
  3. Step 3: Cross multiply
    1,029.25x = 1,420.40 × 563.53
  4. Step 4: Simplify right side
    1,029.25x = 800,438.01
  5. Step 5: Solve for x
    x = 800,438.01/1,029.25
  6. Step 6: Final answer
    x = 777.69

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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.