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Finding the Fourth Proportional to 985.60, 1,472.64 and 729.60

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Solution

The fourth proportional to 985.60, 1,472.64 and 729.60 is: 1,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.60 : 1,472.64 = 729.60 : x
  2. Step 2: Convert to fraction form
    985.60/1,472.64 = 729.60/x
  3. Step 3: Cross multiply
    985.60x = 1,472.64 × 729.60
  4. Step 4: Simplify right side
    985.60x = 1,074,438.14
  5. Step 5: Solve for x
    x = 1,074,438.14/985.60
  6. Step 6: Final answer
    x = 1,090.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.