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Finding the Fourth Proportional to 1,034.77, 1,430.03 and 847.97

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Solution

The fourth proportional to 1,034.77, 1,430.03 and 847.97 is: 1,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.77 : 1,430.03 = 847.97 : x
  2. Step 2: Convert to fraction form
    1,034.77/1,430.03 = 847.97/x
  3. Step 3: Cross multiply
    1,034.77x = 1,430.03 × 847.97
  4. Step 4: Simplify right side
    1,034.77x = 1,212,615.39
  5. Step 5: Solve for x
    x = 1,212,615.39/1,034.77
  6. Step 6: Final answer
    x = 1,171.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.