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Finding the Fourth Proportional to 1,360.77, 1,877.07 and 771.18

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Solution

The fourth proportional to 1,360.77, 1,877.07 and 771.18 is: 1,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.77 : 1,877.07 = 771.18 : x
  2. Step 2: Convert to fraction form
    1,360.77/1,877.07 = 771.18/x
  3. Step 3: Cross multiply
    1,360.77x = 1,877.07 × 771.18
  4. Step 4: Simplify right side
    1,360.77x = 1,447,558.84
  5. Step 5: Solve for x
    x = 1,447,558.84/1,360.77
  6. Step 6: Final answer
    x = 1,063.78

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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.