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Finding the Fourth Proportional to 1,188.91, 1,783.37 and 538.88

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Solution

The fourth proportional to 1,188.91, 1,783.37 and 538.88 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.91 : 1,783.37 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,188.91/1,783.37 = 538.88/x
  3. Step 3: Cross multiply
    1,188.91x = 1,783.37 × 538.88
  4. Step 4: Simplify right side
    1,188.91x = 961,024.19
  5. Step 5: Solve for x
    x = 961,024.19/1,188.91
  6. Step 6: Final answer
    x = 808.33

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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.