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Finding the Fourth Proportional to 1,092.60, 1,505.94 and 760.32

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Solution

The fourth proportional to 1,092.60, 1,505.94 and 760.32 is: 1,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.60 : 1,505.94 = 760.32 : x
  2. Step 2: Convert to fraction form
    1,092.60/1,505.94 = 760.32/x
  3. Step 3: Cross multiply
    1,092.60x = 1,505.94 × 760.32
  4. Step 4: Simplify right side
    1,092.60x = 1,144,996.30
  5. Step 5: Solve for x
    x = 1,144,996.30/1,092.60
  6. Step 6: Final answer
    x = 1,047.96

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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.