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Finding the Fourth Proportional to 1,326.96, 1,832.04 and 830.28

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Solution

The fourth proportional to 1,326.96, 1,832.04 and 830.28 is: 1,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.96 : 1,832.04 = 830.28 : x
  2. Step 2: Convert to fraction form
    1,326.96/1,832.04 = 830.28/x
  3. Step 3: Cross multiply
    1,326.96x = 1,832.04 × 830.28
  4. Step 4: Simplify right side
    1,326.96x = 1,521,106.17
  5. Step 5: Solve for x
    x = 1,521,106.17/1,326.96
  6. Step 6: Final answer
    x = 1,146.31

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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.