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Finding the Fourth Proportional to 1,155.70, 1,732.58 and 539.09

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Solution

The fourth proportional to 1,155.70, 1,732.58 and 539.09 is: 808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.70 : 1,732.58 = 539.09 : x
  2. Step 2: Convert to fraction form
    1,155.70/1,732.58 = 539.09/x
  3. Step 3: Cross multiply
    1,155.70x = 1,732.58 × 539.09
  4. Step 4: Simplify right side
    1,155.70x = 934,007.89
  5. Step 5: Solve for x
    x = 934,007.89/1,155.70
  6. Step 6: Final answer
    x = 808.18

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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.