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Finding the Fourth Proportional to 1,044.69, 1,572.27 and 786.03

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Solution

The fourth proportional to 1,044.69, 1,572.27 and 786.03 is: 1,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.69 : 1,572.27 = 786.03 : x
  2. Step 2: Convert to fraction form
    1,044.69/1,572.27 = 786.03/x
  3. Step 3: Cross multiply
    1,044.69x = 1,572.27 × 786.03
  4. Step 4: Simplify right side
    1,044.69x = 1,235,851.39
  5. Step 5: Solve for x
    x = 1,235,851.39/1,044.69
  6. Step 6: Final answer
    x = 1,182.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.