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Finding the Fourth Proportional to 1,405.90, 2,109.30 and 711.96

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Solution

The fourth proportional to 1,405.90, 2,109.30 and 711.96 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.90 : 2,109.30 = 711.96 : x
  2. Step 2: Convert to fraction form
    1,405.90/2,109.30 = 711.96/x
  3. Step 3: Cross multiply
    1,405.90x = 2,109.30 × 711.96
  4. Step 4: Simplify right side
    1,405.90x = 1,501,737.23
  5. Step 5: Solve for x
    x = 1,501,737.23/1,405.90
  6. Step 6: Final answer
    x = 1,068.17

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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.