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Finding the Fourth Proportional to 1,116.15, 1,674.34 and 375.74

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Solution

The fourth proportional to 1,116.15, 1,674.34 and 375.74 is: 563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.15 : 1,674.34 = 375.74 : x
  2. Step 2: Convert to fraction form
    1,116.15/1,674.34 = 375.74/x
  3. Step 3: Cross multiply
    1,116.15x = 1,674.34 × 375.74
  4. Step 4: Simplify right side
    1,116.15x = 629,113.48
  5. Step 5: Solve for x
    x = 629,113.48/1,116.15
  6. Step 6: Final answer
    x = 563.65

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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.