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Finding the Fourth Proportional to 798.05, 1,195.53 and 785.75

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Solution

The fourth proportional to 798.05, 1,195.53 and 785.75 is: 1,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.05 : 1,195.53 = 785.75 : x
  2. Step 2: Convert to fraction form
    798.05/1,195.53 = 785.75/x
  3. Step 3: Cross multiply
    798.05x = 1,195.53 × 785.75
  4. Step 4: Simplify right side
    798.05x = 939,381.72
  5. Step 5: Solve for x
    x = 939,381.72/798.05
  6. Step 6: Final answer
    x = 1,177.10

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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.