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Finding the Fourth Proportional to 1,155.77, 1,734.08 and 415.43

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Solution

The fourth proportional to 1,155.77, 1,734.08 and 415.43 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.77 : 1,734.08 = 415.43 : x
  2. Step 2: Convert to fraction form
    1,155.77/1,734.08 = 415.43/x
  3. Step 3: Cross multiply
    1,155.77x = 1,734.08 × 415.43
  4. Step 4: Simplify right side
    1,155.77x = 720,378.11
  5. Step 5: Solve for x
    x = 720,378.11/1,155.77
  6. Step 6: Final answer
    x = 623.29

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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.