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Finding the Fourth Proportional to 1,188.52, 1,782.82 and 322.86

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Solution

The fourth proportional to 1,188.52, 1,782.82 and 322.86 is: 484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.52 : 1,782.82 = 322.86 : x
  2. Step 2: Convert to fraction form
    1,188.52/1,782.82 = 322.86/x
  3. Step 3: Cross multiply
    1,188.52x = 1,782.82 × 322.86
  4. Step 4: Simplify right side
    1,188.52x = 575,601.27
  5. Step 5: Solve for x
    x = 575,601.27/1,188.52
  6. Step 6: Final answer
    x = 484.30

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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.