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Finding the Fourth Proportional to 1,475.80, 2,211.36 and 782.44

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Solution

The fourth proportional to 1,475.80, 2,211.36 and 782.44 is: 1,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.80 : 2,211.36 = 782.44 : x
  2. Step 2: Convert to fraction form
    1,475.80/2,211.36 = 782.44/x
  3. Step 3: Cross multiply
    1,475.80x = 2,211.36 × 782.44
  4. Step 4: Simplify right side
    1,475.80x = 1,730,256.52
  5. Step 5: Solve for x
    x = 1,730,256.52/1,475.80
  6. Step 6: Final answer
    x = 1,172.42

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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.