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Finding the Fourth Proportional to 1,035.28, 1,551.98 and 385.56

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Solution

The fourth proportional to 1,035.28, 1,551.98 and 385.56 is: 577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.28 : 1,551.98 = 385.56 : x
  2. Step 2: Convert to fraction form
    1,035.28/1,551.98 = 385.56/x
  3. Step 3: Cross multiply
    1,035.28x = 1,551.98 × 385.56
  4. Step 4: Simplify right side
    1,035.28x = 598,381.41
  5. Step 5: Solve for x
    x = 598,381.41/1,035.28
  6. Step 6: Final answer
    x = 577.99

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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.