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Finding the Fourth Proportional to 1,154.54, 1,731.90 and 363.84

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Solution

The fourth proportional to 1,154.54, 1,731.90 and 363.84 is: 545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.54 : 1,731.90 = 363.84 : x
  2. Step 2: Convert to fraction form
    1,154.54/1,731.90 = 363.84/x
  3. Step 3: Cross multiply
    1,154.54x = 1,731.90 × 363.84
  4. Step 4: Simplify right side
    1,154.54x = 630,134.50
  5. Step 5: Solve for x
    x = 630,134.50/1,154.54
  6. Step 6: Final answer
    x = 545.79

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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.