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Finding the Fourth Proportional to 1,353.50, 1,867.84 and 829.88

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Solution

The fourth proportional to 1,353.50, 1,867.84 and 829.88 is: 1,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.50 : 1,867.84 = 829.88 : x
  2. Step 2: Convert to fraction form
    1,353.50/1,867.84 = 829.88/x
  3. Step 3: Cross multiply
    1,353.50x = 1,867.84 × 829.88
  4. Step 4: Simplify right side
    1,353.50x = 1,550,083.06
  5. Step 5: Solve for x
    x = 1,550,083.06/1,353.50
  6. Step 6: Final answer
    x = 1,145.24

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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.