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Finding the Fourth Proportional to 1,375.02, 2,063.56 and 790.31

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Solution

The fourth proportional to 1,375.02, 2,063.56 and 790.31 is: 1,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.02 : 2,063.56 = 790.31 : x
  2. Step 2: Convert to fraction form
    1,375.02/2,063.56 = 790.31/x
  3. Step 3: Cross multiply
    1,375.02x = 2,063.56 × 790.31
  4. Step 4: Simplify right side
    1,375.02x = 1,630,852.10
  5. Step 5: Solve for x
    x = 1,630,852.10/1,375.02
  6. Step 6: Final answer
    x = 1,186.06

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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.