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Finding the Fourth Proportional to 1,060.14, 1,462.32 and 765.84

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Solution

The fourth proportional to 1,060.14, 1,462.32 and 765.84 is: 1,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.14 : 1,462.32 = 765.84 : x
  2. Step 2: Convert to fraction form
    1,060.14/1,462.32 = 765.84/x
  3. Step 3: Cross multiply
    1,060.14x = 1,462.32 × 765.84
  4. Step 4: Simplify right side
    1,060.14x = 1,119,903.15
  5. Step 5: Solve for x
    x = 1,119,903.15/1,060.14
  6. Step 6: Final answer
    x = 1,056.37

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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.