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Finding the Fourth Proportional to 1,043.07, 1,564.43 and 349.66

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Solution

The fourth proportional to 1,043.07, 1,564.43 and 349.66 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.07 : 1,564.43 = 349.66 : x
  2. Step 2: Convert to fraction form
    1,043.07/1,564.43 = 349.66/x
  3. Step 3: Cross multiply
    1,043.07x = 1,564.43 × 349.66
  4. Step 4: Simplify right side
    1,043.07x = 547,018.59
  5. Step 5: Solve for x
    x = 547,018.59/1,043.07
  6. Step 6: Final answer
    x = 524.43

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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.