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Finding the Fourth Proportional to 985.44, 1,478.70 and 661.08

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Solution

The fourth proportional to 985.44, 1,478.70 and 661.08 is: 991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.44 : 1,478.70 = 661.08 : x
  2. Step 2: Convert to fraction form
    985.44/1,478.70 = 661.08/x
  3. Step 3: Cross multiply
    985.44x = 1,478.70 × 661.08
  4. Step 4: Simplify right side
    985.44x = 977,539.00
  5. Step 5: Solve for x
    x = 977,539.00/985.44
  6. Step 6: Final answer
    x = 991.98

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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.