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Finding the Fourth Proportional to 869.89, 1,198.76 and 607.45

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Solution

The fourth proportional to 869.89, 1,198.76 and 607.45 is: 837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.89 : 1,198.76 = 607.45 : x
  2. Step 2: Convert to fraction form
    869.89/1,198.76 = 607.45/x
  3. Step 3: Cross multiply
    869.89x = 1,198.76 × 607.45
  4. Step 4: Simplify right side
    869.89x = 728,186.76
  5. Step 5: Solve for x
    x = 728,186.76/869.89
  6. Step 6: Final answer
    x = 837.10

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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.