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Finding the Fourth Proportional to 1,654.36, 2,480.64 and 558.16

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Solution

The fourth proportional to 1,654.36, 2,480.64 and 558.16 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.36 : 2,480.64 = 558.16 : x
  2. Step 2: Convert to fraction form
    1,654.36/2,480.64 = 558.16/x
  3. Step 3: Cross multiply
    1,654.36x = 2,480.64 × 558.16
  4. Step 4: Simplify right side
    1,654.36x = 1,384,594.02
  5. Step 5: Solve for x
    x = 1,384,594.02/1,654.36
  6. Step 6: Final answer
    x = 836.94

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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.