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Finding the Fourth Proportional to 1,173.75, 1,759.81 and 711.65

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Solution

The fourth proportional to 1,173.75, 1,759.81 and 711.65 is: 1,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.75 : 1,759.81 = 711.65 : x
  2. Step 2: Convert to fraction form
    1,173.75/1,759.81 = 711.65/x
  3. Step 3: Cross multiply
    1,173.75x = 1,759.81 × 711.65
  4. Step 4: Simplify right side
    1,173.75x = 1,252,368.79
  5. Step 5: Solve for x
    x = 1,252,368.79/1,173.75
  6. Step 6: Final answer
    x = 1,066.98

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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.