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Finding the Fourth Proportional to 1,033.40, 1,426.86 and 723.32

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Solution

The fourth proportional to 1,033.40, 1,426.86 and 723.32 is: 998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.40 : 1,426.86 = 723.32 : x
  2. Step 2: Convert to fraction form
    1,033.40/1,426.86 = 723.32/x
  3. Step 3: Cross multiply
    1,033.40x = 1,426.86 × 723.32
  4. Step 4: Simplify right side
    1,033.40x = 1,032,076.38
  5. Step 5: Solve for x
    x = 1,032,076.38/1,033.40
  6. Step 6: Final answer
    x = 998.72

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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.