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Finding the Fourth Proportional to 1,423.70, 2,135.79 and 546.15

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Solution

The fourth proportional to 1,423.70, 2,135.79 and 546.15 is: 819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.70 : 2,135.79 = 546.15 : x
  2. Step 2: Convert to fraction form
    1,423.70/2,135.79 = 546.15/x
  3. Step 3: Cross multiply
    1,423.70x = 2,135.79 × 546.15
  4. Step 4: Simplify right side
    1,423.70x = 1,166,461.71
  5. Step 5: Solve for x
    x = 1,166,461.71/1,423.70
  6. Step 6: Final answer
    x = 819.32

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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.