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Finding the Fourth Proportional to 1,360.14, 1,877.42 and 771.07

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Solution

The fourth proportional to 1,360.14, 1,877.42 and 771.07 is: 1,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.14 : 1,877.42 = 771.07 : x
  2. Step 2: Convert to fraction form
    1,360.14/1,877.42 = 771.07/x
  3. Step 3: Cross multiply
    1,360.14x = 1,877.42 × 771.07
  4. Step 4: Simplify right side
    1,360.14x = 1,447,614.24
  5. Step 5: Solve for x
    x = 1,447,614.24/1,360.14
  6. Step 6: Final answer
    x = 1,064.31

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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.