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Finding the Fourth Proportional to 1,289.87, 1,781.03 and 792.74

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Solution

The fourth proportional to 1,289.87, 1,781.03 and 792.74 is: 1,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.87 : 1,781.03 = 792.74 : x
  2. Step 2: Convert to fraction form
    1,289.87/1,781.03 = 792.74/x
  3. Step 3: Cross multiply
    1,289.87x = 1,781.03 × 792.74
  4. Step 4: Simplify right side
    1,289.87x = 1,411,886.80
  5. Step 5: Solve for x
    x = 1,411,886.80/1,289.87
  6. Step 6: Final answer
    x = 1,094.59

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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.