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Finding the Fourth Proportional to 920.16, 1,378.42 and 886.34

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Solution

The fourth proportional to 920.16, 1,378.42 and 886.34 is: 1,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.16 : 1,378.42 = 886.34 : x
  2. Step 2: Convert to fraction form
    920.16/1,378.42 = 886.34/x
  3. Step 3: Cross multiply
    920.16x = 1,378.42 × 886.34
  4. Step 4: Simplify right side
    920.16x = 1,221,750.01
  5. Step 5: Solve for x
    x = 1,221,750.01/920.16
  6. Step 6: Final answer
    x = 1,327.76

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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.