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Finding the Fourth Proportional to 1,088.87, 1,629.90 and 829.85

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Solution

The fourth proportional to 1,088.87, 1,629.90 and 829.85 is: 1,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.87 : 1,629.90 = 829.85 : x
  2. Step 2: Convert to fraction form
    1,088.87/1,629.90 = 829.85/x
  3. Step 3: Cross multiply
    1,088.87x = 1,629.90 × 829.85
  4. Step 4: Simplify right side
    1,088.87x = 1,352,564.37
  5. Step 5: Solve for x
    x = 1,352,564.37/1,088.87
  6. Step 6: Final answer
    x = 1,242.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.