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Finding the Fourth Proportional to 1,185.59, 1,636.58 and 792.47

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Solution

The fourth proportional to 1,185.59, 1,636.58 and 792.47 is: 1,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.59 : 1,636.58 = 792.47 : x
  2. Step 2: Convert to fraction form
    1,185.59/1,636.58 = 792.47/x
  3. Step 3: Cross multiply
    1,185.59x = 1,636.58 × 792.47
  4. Step 4: Simplify right side
    1,185.59x = 1,296,946.63
  5. Step 5: Solve for x
    x = 1,296,946.63/1,185.59
  6. Step 6: Final answer
    x = 1,093.92

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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.