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Finding the Fourth Proportional to 858.96, 1,186.38 and 788.76

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Solution

The fourth proportional to 858.96, 1,186.38 and 788.76 is: 1,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.96 : 1,186.38 = 788.76 : x
  2. Step 2: Convert to fraction form
    858.96/1,186.38 = 788.76/x
  3. Step 3: Cross multiply
    858.96x = 1,186.38 × 788.76
  4. Step 4: Simplify right side
    858.96x = 935,769.09
  5. Step 5: Solve for x
    x = 935,769.09/858.96
  6. Step 6: Final answer
    x = 1,089.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.