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Finding the Fourth Proportional to 1,450.55, 2,175.14 and 525.46

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Solution

The fourth proportional to 1,450.55, 2,175.14 and 525.46 is: 787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.55 : 2,175.14 = 525.46 : x
  2. Step 2: Convert to fraction form
    1,450.55/2,175.14 = 525.46/x
  3. Step 3: Cross multiply
    1,450.55x = 2,175.14 × 525.46
  4. Step 4: Simplify right side
    1,450.55x = 1,142,944.94
  5. Step 5: Solve for x
    x = 1,142,944.94/1,450.55
  6. Step 6: Final answer
    x = 787.94

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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.