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Finding the Fourth Proportional to 1,261.68, 1,740.59 and 789.78

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Solution

The fourth proportional to 1,261.68, 1,740.59 and 789.78 is: 1,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.68 : 1,740.59 = 789.78 : x
  2. Step 2: Convert to fraction form
    1,261.68/1,740.59 = 789.78/x
  3. Step 3: Cross multiply
    1,261.68x = 1,740.59 × 789.78
  4. Step 4: Simplify right side
    1,261.68x = 1,374,688.71
  5. Step 5: Solve for x
    x = 1,374,688.71/1,261.68
  6. Step 6: Final answer
    x = 1,089.57

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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.