Home / 1,188.12-1,782.15-322.44

Finding the Fourth Proportional to 1,188.12, 1,782.15 and 322.44

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Solution

The fourth proportional to 1,188.12, 1,782.15 and 322.44 is: 483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,782.15 = 322.44 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,782.15 = 322.44/x
  3. Step 3: Cross multiply
    1,188.12x = 1,782.15 × 322.44
  4. Step 4: Simplify right side
    1,188.12x = 574,636.45
  5. Step 5: Solve for x
    x = 574,636.45/1,188.12
  6. Step 6: Final answer
    x = 483.65

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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.