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Finding the Fourth Proportional to 1,042.46, 1,563.69 and 349.00

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Solution

The fourth proportional to 1,042.46, 1,563.69 and 349.00 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.46 : 1,563.69 = 349.00 : x
  2. Step 2: Convert to fraction form
    1,042.46/1,563.69 = 349.00/x
  3. Step 3: Cross multiply
    1,042.46x = 1,563.69 × 349.00
  4. Step 4: Simplify right side
    1,042.46x = 545,731.07
  5. Step 5: Solve for x
    x = 545,731.07/1,042.46
  6. Step 6: Final answer
    x = 523.50

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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.