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Finding the Fourth Proportional to 1,155.54, 1,732.69 and 661.95

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Solution

The fourth proportional to 1,155.54, 1,732.69 and 661.95 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.54 : 1,732.69 = 661.95 : x
  2. Step 2: Convert to fraction form
    1,155.54/1,732.69 = 661.95/x
  3. Step 3: Cross multiply
    1,155.54x = 1,732.69 × 661.95
  4. Step 4: Simplify right side
    1,155.54x = 1,146,954.15
  5. Step 5: Solve for x
    x = 1,146,954.15/1,155.54
  6. Step 6: Final answer
    x = 992.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.