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Finding the Fourth Proportional to 1,440.31, 2,159.22 and 574.06

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Solution

The fourth proportional to 1,440.31, 2,159.22 and 574.06 is: 860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.31 : 2,159.22 = 574.06 : x
  2. Step 2: Convert to fraction form
    1,440.31/2,159.22 = 574.06/x
  3. Step 3: Cross multiply
    1,440.31x = 2,159.22 × 574.06
  4. Step 4: Simplify right side
    1,440.31x = 1,239,521.83
  5. Step 5: Solve for x
    x = 1,239,521.83/1,440.31
  6. Step 6: Final answer
    x = 860.59

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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.