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Finding the Fourth Proportional to 1,154.10, 1,730.70 and 423.30

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Solution

The fourth proportional to 1,154.10, 1,730.70 and 423.30 is: 634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.10 : 1,730.70 = 423.30 : x
  2. Step 2: Convert to fraction form
    1,154.10/1,730.70 = 423.30/x
  3. Step 3: Cross multiply
    1,154.10x = 1,730.70 × 423.30
  4. Step 4: Simplify right side
    1,154.10x = 732,605.31
  5. Step 5: Solve for x
    x = 732,605.31/1,154.10
  6. Step 6: Final answer
    x = 634.78

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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.