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Finding the Fourth Proportional to 1,042.26, 1,563.61 and 348.94

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Solution

The fourth proportional to 1,042.26, 1,563.61 and 348.94 is: 523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.26 : 1,563.61 = 348.94 : x
  2. Step 2: Convert to fraction form
    1,042.26/1,563.61 = 348.94/x
  3. Step 3: Cross multiply
    1,042.26x = 1,563.61 × 348.94
  4. Step 4: Simplify right side
    1,042.26x = 545,598.03
  5. Step 5: Solve for x
    x = 545,598.03/1,042.26
  6. Step 6: Final answer
    x = 523.47

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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.