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Finding the Fourth Proportional to 1,320.77, 1,822.74 and 731.32

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Solution

The fourth proportional to 1,320.77, 1,822.74 and 731.32 is: 1,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.77 : 1,822.74 = 731.32 : x
  2. Step 2: Convert to fraction form
    1,320.77/1,822.74 = 731.32/x
  3. Step 3: Cross multiply
    1,320.77x = 1,822.74 × 731.32
  4. Step 4: Simplify right side
    1,320.77x = 1,332,997.10
  5. Step 5: Solve for x
    x = 1,332,997.10/1,320.77
  6. Step 6: Final answer
    x = 1,009.26

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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.