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Finding the Fourth Proportional to 1,155.64, 1,732.94 and 539.53

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Solution

The fourth proportional to 1,155.64, 1,732.94 and 539.53 is: 809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.64 : 1,732.94 = 539.53 : x
  2. Step 2: Convert to fraction form
    1,155.64/1,732.94 = 539.53/x
  3. Step 3: Cross multiply
    1,155.64x = 1,732.94 × 539.53
  4. Step 4: Simplify right side
    1,155.64x = 934,971.15
  5. Step 5: Solve for x
    x = 934,971.15/1,155.64
  6. Step 6: Final answer
    x = 809.05

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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.