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Finding the Fourth Proportional to 1,244.07, 1,716.75 and 771.84

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Solution

The fourth proportional to 1,244.07, 1,716.75 and 771.84 is: 1,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.07 : 1,716.75 = 771.84 : x
  2. Step 2: Convert to fraction form
    1,244.07/1,716.75 = 771.84/x
  3. Step 3: Cross multiply
    1,244.07x = 1,716.75 × 771.84
  4. Step 4: Simplify right side
    1,244.07x = 1,325,056.32
  5. Step 5: Solve for x
    x = 1,325,056.32/1,244.07
  6. Step 6: Final answer
    x = 1,065.10

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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.