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Finding the Fourth Proportional to 1,160.55, 1,742.04 and 612.59

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Solution

The fourth proportional to 1,160.55, 1,742.04 and 612.59 is: 919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.55 : 1,742.04 = 612.59 : x
  2. Step 2: Convert to fraction form
    1,160.55/1,742.04 = 612.59/x
  3. Step 3: Cross multiply
    1,160.55x = 1,742.04 × 612.59
  4. Step 4: Simplify right side
    1,160.55x = 1,067,156.28
  5. Step 5: Solve for x
    x = 1,067,156.28/1,160.55
  6. Step 6: Final answer
    x = 919.53

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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.