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Finding the Fourth Proportional to 1,359.64, 1,876.56 and 792.85

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Solution

The fourth proportional to 1,359.64, 1,876.56 and 792.85 is: 1,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.64 : 1,876.56 = 792.85 : x
  2. Step 2: Convert to fraction form
    1,359.64/1,876.56 = 792.85/x
  3. Step 3: Cross multiply
    1,359.64x = 1,876.56 × 792.85
  4. Step 4: Simplify right side
    1,359.64x = 1,487,830.60
  5. Step 5: Solve for x
    x = 1,487,830.60/1,359.64
  6. Step 6: Final answer
    x = 1,094.28

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