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Finding the Fourth Proportional to 792.60, 1,094.08 and 709.55

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Solution

The fourth proportional to 792.60, 1,094.08 and 709.55 is: 979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.60 : 1,094.08 = 709.55 : x
  2. Step 2: Convert to fraction form
    792.60/1,094.08 = 709.55/x
  3. Step 3: Cross multiply
    792.60x = 1,094.08 × 709.55
  4. Step 4: Simplify right side
    792.60x = 776,308.09
  5. Step 5: Solve for x
    x = 776,308.09/792.60
  6. Step 6: Final answer
    x = 979.45

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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.