Home / 1,029.65-1,544.40-380.30

Finding the Fourth Proportional to 1,029.65, 1,544.40 and 380.30

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Solution

The fourth proportional to 1,029.65, 1,544.40 and 380.30 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.65 : 1,544.40 = 380.30 : x
  2. Step 2: Convert to fraction form
    1,029.65/1,544.40 = 380.30/x
  3. Step 3: Cross multiply
    1,029.65x = 1,544.40 × 380.30
  4. Step 4: Simplify right side
    1,029.65x = 587,327.60
  5. Step 5: Solve for x
    x = 587,327.60/1,029.65
  6. Step 6: Final answer
    x = 570.42

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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.