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Finding the Fourth Proportional to 1,320.24, 1,822.04 and 730.90

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Solution

The fourth proportional to 1,320.24, 1,822.04 and 730.90 is: 1,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,822.04 = 730.90 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,822.04 = 730.90/x
  3. Step 3: Cross multiply
    1,320.24x = 1,822.04 × 730.90
  4. Step 4: Simplify right side
    1,320.24x = 1,331,729.04
  5. Step 5: Solve for x
    x = 1,331,729.04/1,320.24
  6. Step 6: Final answer
    x = 1,008.70

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Why These Related Problems?

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