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Finding the Fourth Proportional to 1,077.20, 1,616.64 and 558.08

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Solution

The fourth proportional to 1,077.20, 1,616.64 and 558.08 is: 837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.20 : 1,616.64 = 558.08 : x
  2. Step 2: Convert to fraction form
    1,077.20/1,616.64 = 558.08/x
  3. Step 3: Cross multiply
    1,077.20x = 1,616.64 × 558.08
  4. Step 4: Simplify right side
    1,077.20x = 902,214.45
  5. Step 5: Solve for x
    x = 902,214.45/1,077.20
  6. Step 6: Final answer
    x = 837.56

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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.