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Finding the Fourth Proportional to 1,043.25, 1,564.50 and 349.71

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Solution

The fourth proportional to 1,043.25, 1,564.50 and 349.71 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.25 : 1,564.50 = 349.71 : x
  2. Step 2: Convert to fraction form
    1,043.25/1,564.50 = 349.71/x
  3. Step 3: Cross multiply
    1,043.25x = 1,564.50 × 349.71
  4. Step 4: Simplify right side
    1,043.25x = 547,121.30
  5. Step 5: Solve for x
    x = 547,121.30/1,043.25
  6. Step 6: Final answer
    x = 524.44

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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.