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Finding the Fourth Proportional to 1,141.12, 1,574.74 and 617.15

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Solution

The fourth proportional to 1,141.12, 1,574.74 and 617.15 is: 851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.12 : 1,574.74 = 617.15 : x
  2. Step 2: Convert to fraction form
    1,141.12/1,574.74 = 617.15/x
  3. Step 3: Cross multiply
    1,141.12x = 1,574.74 × 617.15
  4. Step 4: Simplify right side
    1,141.12x = 971,850.79
  5. Step 5: Solve for x
    x = 971,850.79/1,141.12
  6. Step 6: Final answer
    x = 851.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.