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Finding the Fourth Proportional to 1,352.73, 1,866.21 and 829.06

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Solution

The fourth proportional to 1,352.73, 1,866.21 and 829.06 is: 1,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.73 : 1,866.21 = 829.06 : x
  2. Step 2: Convert to fraction form
    1,352.73/1,866.21 = 829.06/x
  3. Step 3: Cross multiply
    1,352.73x = 1,866.21 × 829.06
  4. Step 4: Simplify right side
    1,352.73x = 1,547,200.06
  5. Step 5: Solve for x
    x = 1,547,200.06/1,352.73
  6. Step 6: Final answer
    x = 1,143.76

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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.