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Finding the Fourth Proportional to 1,154.23, 1,730.99 and 758.89

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Solution

The fourth proportional to 1,154.23, 1,730.99 and 758.89 is: 1,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.23 : 1,730.99 = 758.89 : x
  2. Step 2: Convert to fraction form
    1,154.23/1,730.99 = 758.89/x
  3. Step 3: Cross multiply
    1,154.23x = 1,730.99 × 758.89
  4. Step 4: Simplify right side
    1,154.23x = 1,313,635.33
  5. Step 5: Solve for x
    x = 1,313,635.33/1,154.23
  6. Step 6: Final answer
    x = 1,138.11

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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.