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Finding the Fourth Proportional to 1,035.20, 1,553.07 and 541.64

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Solution

The fourth proportional to 1,035.20, 1,553.07 and 541.64 is: 812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.20 : 1,553.07 = 541.64 : x
  2. Step 2: Convert to fraction form
    1,035.20/1,553.07 = 541.64/x
  3. Step 3: Cross multiply
    1,035.20x = 1,553.07 × 541.64
  4. Step 4: Simplify right side
    1,035.20x = 841,204.83
  5. Step 5: Solve for x
    x = 841,204.83/1,035.20
  6. Step 6: Final answer
    x = 812.60

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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.