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Finding the Fourth Proportional to 1,539.31, 2,310.34 and 718.05

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Solution

The fourth proportional to 1,539.31, 2,310.34 and 718.05 is: 1,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.31 : 2,310.34 = 718.05 : x
  2. Step 2: Convert to fraction form
    1,539.31/2,310.34 = 718.05/x
  3. Step 3: Cross multiply
    1,539.31x = 2,310.34 × 718.05
  4. Step 4: Simplify right side
    1,539.31x = 1,658,939.64
  5. Step 5: Solve for x
    x = 1,658,939.64/1,539.31
  6. Step 6: Final answer
    x = 1,077.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.