Home / 1,176.04-1,764.20-310.36

Finding the Fourth Proportional to 1,176.04, 1,764.20 and 310.36

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Solution

The fourth proportional to 1,176.04, 1,764.20 and 310.36 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.04 : 1,764.20 = 310.36 : x
  2. Step 2: Convert to fraction form
    1,176.04/1,764.20 = 310.36/x
  3. Step 3: Cross multiply
    1,176.04x = 1,764.20 × 310.36
  4. Step 4: Simplify right side
    1,176.04x = 547,537.11
  5. Step 5: Solve for x
    x = 547,537.11/1,176.04
  6. Step 6: Final answer
    x = 465.58

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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.