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Finding the Fourth Proportional to 1,141.86, 1,712.70 and 320.16

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Solution

The fourth proportional to 1,141.86, 1,712.70 and 320.16 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.86 : 1,712.70 = 320.16 : x
  2. Step 2: Convert to fraction form
    1,141.86/1,712.70 = 320.16/x
  3. Step 3: Cross multiply
    1,141.86x = 1,712.70 × 320.16
  4. Step 4: Simplify right side
    1,141.86x = 548,338.03
  5. Step 5: Solve for x
    x = 548,338.03/1,141.86
  6. Step 6: Final answer
    x = 480.21

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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.