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Finding the Fourth Proportional to 1,188.18, 1,782.27 and 322.49

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Solution

The fourth proportional to 1,188.18, 1,782.27 and 322.49 is: 483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.18 : 1,782.27 = 322.49 : x
  2. Step 2: Convert to fraction form
    1,188.18/1,782.27 = 322.49/x
  3. Step 3: Cross multiply
    1,188.18x = 1,782.27 × 322.49
  4. Step 4: Simplify right side
    1,188.18x = 574,764.25
  5. Step 5: Solve for x
    x = 574,764.25/1,188.18
  6. Step 6: Final answer
    x = 483.74

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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.