Home / 1,171.30-1,756.23-401.86

Finding the Fourth Proportional to 1,171.30, 1,756.23 and 401.86

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Solution

The fourth proportional to 1,171.30, 1,756.23 and 401.86 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.30 : 1,756.23 = 401.86 : x
  2. Step 2: Convert to fraction form
    1,171.30/1,756.23 = 401.86/x
  3. Step 3: Cross multiply
    1,171.30x = 1,756.23 × 401.86
  4. Step 4: Simplify right side
    1,171.30x = 705,758.59
  5. Step 5: Solve for x
    x = 705,758.59/1,171.30
  6. Step 6: Final answer
    x = 602.54

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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.