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Finding the Fourth Proportional to 925.70, 1,270.26 and 842.16

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Solution

The fourth proportional to 925.70, 1,270.26 and 842.16 is: 1,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.70 : 1,270.26 = 842.16 : x
  2. Step 2: Convert to fraction form
    925.70/1,270.26 = 842.16/x
  3. Step 3: Cross multiply
    925.70x = 1,270.26 × 842.16
  4. Step 4: Simplify right side
    925.70x = 1,069,762.16
  5. Step 5: Solve for x
    x = 1,069,762.16/925.70
  6. Step 6: Final answer
    x = 1,155.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.