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Finding the Fourth Proportional to 1,352.55, 2,028.58 and 475.01

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Solution

The fourth proportional to 1,352.55, 2,028.58 and 475.01 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.55 : 2,028.58 = 475.01 : x
  2. Step 2: Convert to fraction form
    1,352.55/2,028.58 = 475.01/x
  3. Step 3: Cross multiply
    1,352.55x = 2,028.58 × 475.01
  4. Step 4: Simplify right side
    1,352.55x = 963,595.79
  5. Step 5: Solve for x
    x = 963,595.79/1,352.55
  6. Step 6: Final answer
    x = 712.43

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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.