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Finding the Fourth Proportional to 1,236.42, 1,706.82 and 788.90

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Solution

The fourth proportional to 1,236.42, 1,706.82 and 788.90 is: 1,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.42 : 1,706.82 = 788.90 : x
  2. Step 2: Convert to fraction form
    1,236.42/1,706.82 = 788.90/x
  3. Step 3: Cross multiply
    1,236.42x = 1,706.82 × 788.90
  4. Step 4: Simplify right side
    1,236.42x = 1,346,501.76
  5. Step 5: Solve for x
    x = 1,346,501.76/1,236.42
  6. Step 6: Final answer
    x = 1,089.03

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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.