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Finding the Fourth Proportional to 1,188.40, 1,782.69 and 322.69

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Solution

The fourth proportional to 1,188.40, 1,782.69 and 322.69 is: 484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.40 : 1,782.69 = 322.69 : x
  2. Step 2: Convert to fraction form
    1,188.40/1,782.69 = 322.69/x
  3. Step 3: Cross multiply
    1,188.40x = 1,782.69 × 322.69
  4. Step 4: Simplify right side
    1,188.40x = 575,250.57
  5. Step 5: Solve for x
    x = 575,250.57/1,188.40
  6. Step 6: Final answer
    x = 484.06

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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.