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Finding the Fourth Proportional to 1,188.12, 1,782.15 and 322.43

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Solution

The fourth proportional to 1,188.12, 1,782.15 and 322.43 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,782.15 = 322.43 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,782.15 = 322.43/x
  3. Step 3: Cross multiply
    1,188.12x = 1,782.15 × 322.43
  4. Step 4: Simplify right side
    1,188.12x = 574,620.34
  5. Step 5: Solve for x
    x = 574,620.34/1,188.12
  6. Step 6: Final answer
    x = 483.64

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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.