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Finding the Fourth Proportional to 798.60, 1,196.04 and 785.22

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Solution

The fourth proportional to 798.60, 1,196.04 and 785.22 is: 1,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.60 : 1,196.04 = 785.22 : x
  2. Step 2: Convert to fraction form
    798.60/1,196.04 = 785.22/x
  3. Step 3: Cross multiply
    798.60x = 1,196.04 × 785.22
  4. Step 4: Simplify right side
    798.60x = 939,154.53
  5. Step 5: Solve for x
    x = 939,154.53/798.60
  6. Step 6: Final answer
    x = 1,176.00

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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.