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Finding the Fourth Proportional to 1,042.89, 1,564.56 and 349.44

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Solution

The fourth proportional to 1,042.89, 1,564.56 and 349.44 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.89 : 1,564.56 = 349.44 : x
  2. Step 2: Convert to fraction form
    1,042.89/1,564.56 = 349.44/x
  3. Step 3: Cross multiply
    1,042.89x = 1,564.56 × 349.44
  4. Step 4: Simplify right side
    1,042.89x = 546,719.85
  5. Step 5: Solve for x
    x = 546,719.85/1,042.89
  6. Step 6: Final answer
    x = 524.24

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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.