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Finding the Fourth Proportional to 1,375.65, 2,062.40 and 510.57

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Solution

The fourth proportional to 1,375.65, 2,062.40 and 510.57 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.65 : 2,062.40 = 510.57 : x
  2. Step 2: Convert to fraction form
    1,375.65/2,062.40 = 510.57/x
  3. Step 3: Cross multiply
    1,375.65x = 2,062.40 × 510.57
  4. Step 4: Simplify right side
    1,375.65x = 1,052,997.02
  5. Step 5: Solve for x
    x = 1,052,997.02/1,375.65
  6. Step 6: Final answer
    x = 765.45

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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.