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Finding the Fourth Proportional to 1,035.60, 1,553.40 and 931.20

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Solution

The fourth proportional to 1,035.60, 1,553.40 and 931.20 is: 1,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.60 : 1,553.40 = 931.20 : x
  2. Step 2: Convert to fraction form
    1,035.60/1,553.40 = 931.20/x
  3. Step 3: Cross multiply
    1,035.60x = 1,553.40 × 931.20
  4. Step 4: Simplify right side
    1,035.60x = 1,446,526.08
  5. Step 5: Solve for x
    x = 1,446,526.08/1,035.60
  6. Step 6: Final answer
    x = 1,396.80

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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.