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Finding the Fourth Proportional to 985.94, 1,478.03 and 829.47

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Solution

The fourth proportional to 985.94, 1,478.03 and 829.47 is: 1,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.94 : 1,478.03 = 829.47 : x
  2. Step 2: Convert to fraction form
    985.94/1,478.03 = 829.47/x
  3. Step 3: Cross multiply
    985.94x = 1,478.03 × 829.47
  4. Step 4: Simplify right side
    985.94x = 1,225,977.40
  5. Step 5: Solve for x
    x = 1,225,977.40/985.94
  6. Step 6: Final answer
    x = 1,243.47

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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.