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Finding the Fourth Proportional to 772.96, 1,160.64 and 591.04

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Solution

The fourth proportional to 772.96, 1,160.64 and 591.04 is: 887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,160.64 = 591.04 : x
  2. Step 2: Convert to fraction form
    772.96/1,160.64 = 591.04/x
  3. Step 3: Cross multiply
    772.96x = 1,160.64 × 591.04
  4. Step 4: Simplify right side
    772.96x = 685,984.67
  5. Step 5: Solve for x
    x = 685,984.67/772.96
  6. Step 6: Final answer
    x = 887.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.