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Finding the Fourth Proportional to 1,154.62, 1,730.58 and 423.64

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Solution

The fourth proportional to 1,154.62, 1,730.58 and 423.64 is: 634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.62 : 1,730.58 = 423.64 : x
  2. Step 2: Convert to fraction form
    1,154.62/1,730.58 = 423.64/x
  3. Step 3: Cross multiply
    1,154.62x = 1,730.58 × 423.64
  4. Step 4: Simplify right side
    1,154.62x = 733,142.91
  5. Step 5: Solve for x
    x = 733,142.91/1,154.62
  6. Step 6: Final answer
    x = 634.96

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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.