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Finding the Fourth Proportional to 1,375.30, 2,062.90 and 553.38

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Solution

The fourth proportional to 1,375.30, 2,062.90 and 553.38 is: 830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.30 : 2,062.90 = 553.38 : x
  2. Step 2: Convert to fraction form
    1,375.30/2,062.90 = 553.38/x
  3. Step 3: Cross multiply
    1,375.30x = 2,062.90 × 553.38
  4. Step 4: Simplify right side
    1,375.30x = 1,141,567.60
  5. Step 5: Solve for x
    x = 1,141,567.60/1,375.30
  6. Step 6: Final answer
    x = 830.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.