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Finding the Fourth Proportional to 1,705.93, 2,557.27 and 666.60

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Solution

The fourth proportional to 1,705.93, 2,557.27 and 666.60 is: 999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.93 : 2,557.27 = 666.60 : x
  2. Step 2: Convert to fraction form
    1,705.93/2,557.27 = 666.60/x
  3. Step 3: Cross multiply
    1,705.93x = 2,557.27 × 666.60
  4. Step 4: Simplify right side
    1,705.93x = 1,704,667.43
  5. Step 5: Solve for x
    x = 1,704,667.43/1,705.93
  6. Step 6: Final answer
    x = 999.26

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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.