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Finding the Fourth Proportional to 1,141.85, 1,712.64 and 320.18

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Solution

The fourth proportional to 1,141.85, 1,712.64 and 320.18 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.85 : 1,712.64 = 320.18 : x
  2. Step 2: Convert to fraction form
    1,141.85/1,712.64 = 320.18/x
  3. Step 3: Cross multiply
    1,141.85x = 1,712.64 × 320.18
  4. Step 4: Simplify right side
    1,141.85x = 548,353.08
  5. Step 5: Solve for x
    x = 548,353.08/1,141.85
  6. Step 6: Final answer
    x = 480.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.