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Finding the Fourth Proportional to 792.75, 1,094.43 and 527.40

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Solution

The fourth proportional to 792.75, 1,094.43 and 527.40 is: 728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,094.43 = 527.40 : x
  2. Step 2: Convert to fraction form
    792.75/1,094.43 = 527.40/x
  3. Step 3: Cross multiply
    792.75x = 1,094.43 × 527.40
  4. Step 4: Simplify right side
    792.75x = 577,196.91
  5. Step 5: Solve for x
    x = 577,196.91/792.75
  6. Step 6: Final answer
    x = 728.09

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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.