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Finding the Fourth Proportional to 1,141.94, 1,712.88 and 320.26

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Solution

The fourth proportional to 1,141.94, 1,712.88 and 320.26 is: 480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.94 : 1,712.88 = 320.26 : x
  2. Step 2: Convert to fraction form
    1,141.94/1,712.88 = 320.26/x
  3. Step 3: Cross multiply
    1,141.94x = 1,712.88 × 320.26
  4. Step 4: Simplify right side
    1,141.94x = 548,566.95
  5. Step 5: Solve for x
    x = 548,566.95/1,141.94
  6. Step 6: Final answer
    x = 480.38

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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.