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Finding the Fourth Proportional to 1,170.87, 1,756.26 and 305.16

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Solution

The fourth proportional to 1,170.87, 1,756.26 and 305.16 is: 457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.87 : 1,756.26 = 305.16 : x
  2. Step 2: Convert to fraction form
    1,170.87/1,756.26 = 305.16/x
  3. Step 3: Cross multiply
    1,170.87x = 1,756.26 × 305.16
  4. Step 4: Simplify right side
    1,170.87x = 535,940.30
  5. Step 5: Solve for x
    x = 535,940.30/1,170.87
  6. Step 6: Final answer
    x = 457.73

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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.