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Finding the Fourth Proportional to 1,354.83, 2,032.59 and 828.33

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Solution

The fourth proportional to 1,354.83, 2,032.59 and 828.33 is: 1,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.83 : 2,032.59 = 828.33 : x
  2. Step 2: Convert to fraction form
    1,354.83/2,032.59 = 828.33/x
  3. Step 3: Cross multiply
    1,354.83x = 2,032.59 × 828.33
  4. Step 4: Simplify right side
    1,354.83x = 1,683,650.76
  5. Step 5: Solve for x
    x = 1,683,650.76/1,354.83
  6. Step 6: Final answer
    x = 1,242.71

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