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Finding the Fourth Proportional to 1,043.67, 1,564.14 and 768.47

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Solution

The fourth proportional to 1,043.67, 1,564.14 and 768.47 is: 1,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.67 : 1,564.14 = 768.47 : x
  2. Step 2: Convert to fraction form
    1,043.67/1,564.14 = 768.47/x
  3. Step 3: Cross multiply
    1,043.67x = 1,564.14 × 768.47
  4. Step 4: Simplify right side
    1,043.67x = 1,201,998.58
  5. Step 5: Solve for x
    x = 1,201,998.58/1,043.67
  6. Step 6: Final answer
    x = 1,151.70

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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.