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Finding the Fourth Proportional to 1,155.01, 1,731.49 and 539.46

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Solution

The fourth proportional to 1,155.01, 1,731.49 and 539.46 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.01 : 1,731.49 = 539.46 : x
  2. Step 2: Convert to fraction form
    1,155.01/1,731.49 = 539.46/x
  3. Step 3: Cross multiply
    1,155.01x = 1,731.49 × 539.46
  4. Step 4: Simplify right side
    1,155.01x = 934,069.01
  5. Step 5: Solve for x
    x = 934,069.01/1,155.01
  6. Step 6: Final answer
    x = 808.71

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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.