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Finding the Fourth Proportional to 1,188.36, 1,782.56 and 322.65

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Solution

The fourth proportional to 1,188.36, 1,782.56 and 322.65 is: 483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.36 : 1,782.56 = 322.65 : x
  2. Step 2: Convert to fraction form
    1,188.36/1,782.56 = 322.65/x
  3. Step 3: Cross multiply
    1,188.36x = 1,782.56 × 322.65
  4. Step 4: Simplify right side
    1,188.36x = 575,142.98
  5. Step 5: Solve for x
    x = 575,142.98/1,188.36
  6. Step 6: Final answer
    x = 483.98

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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.