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Finding the Fourth Proportional to 1,360.63, 1,877.67 and 739.63

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Solution

The fourth proportional to 1,360.63, 1,877.67 and 739.63 is: 1,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.63 : 1,877.67 = 739.63 : x
  2. Step 2: Convert to fraction form
    1,360.63/1,877.67 = 739.63/x
  3. Step 3: Cross multiply
    1,360.63x = 1,877.67 × 739.63
  4. Step 4: Simplify right side
    1,360.63x = 1,388,771.67
  5. Step 5: Solve for x
    x = 1,388,771.67/1,360.63
  6. Step 6: Final answer
    x = 1,020.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.