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Finding the Fourth Proportional to 1,445.93, 2,168.98 and 706.18

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Solution

The fourth proportional to 1,445.93, 2,168.98 and 706.18 is: 1,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.93 : 2,168.98 = 706.18 : x
  2. Step 2: Convert to fraction form
    1,445.93/2,168.98 = 706.18/x
  3. Step 3: Cross multiply
    1,445.93x = 2,168.98 × 706.18
  4. Step 4: Simplify right side
    1,445.93x = 1,531,684.05
  5. Step 5: Solve for x
    x = 1,531,684.05/1,445.93
  6. Step 6: Final answer
    x = 1,059.30

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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.