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Finding the Fourth Proportional to 1,042.50, 1,563.64 and 311.91

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Solution

The fourth proportional to 1,042.50, 1,563.64 and 311.91 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.50 : 1,563.64 = 311.91 : x
  2. Step 2: Convert to fraction form
    1,042.50/1,563.64 = 311.91/x
  3. Step 3: Cross multiply
    1,042.50x = 1,563.64 × 311.91
  4. Step 4: Simplify right side
    1,042.50x = 487,708.31
  5. Step 5: Solve for x
    x = 487,708.31/1,042.50
  6. Step 6: Final answer
    x = 467.82

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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.