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Finding the Fourth Proportional to 1,442.31, 2,164.23 and 711.90

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Solution

The fourth proportional to 1,442.31, 2,164.23 and 711.90 is: 1,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.31 : 2,164.23 = 711.90 : x
  2. Step 2: Convert to fraction form
    1,442.31/2,164.23 = 711.90/x
  3. Step 3: Cross multiply
    1,442.31x = 2,164.23 × 711.90
  4. Step 4: Simplify right side
    1,442.31x = 1,540,715.34
  5. Step 5: Solve for x
    x = 1,540,715.34/1,442.31
  6. Step 6: Final answer
    x = 1,068.23

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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.