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Finding the Fourth Proportional to 1,525.23, 2,289.14 and 601.44

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Solution

The fourth proportional to 1,525.23, 2,289.14 and 601.44 is: 902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.23 : 2,289.14 = 601.44 : x
  2. Step 2: Convert to fraction form
    1,525.23/2,289.14 = 601.44/x
  3. Step 3: Cross multiply
    1,525.23x = 2,289.14 × 601.44
  4. Step 4: Simplify right side
    1,525.23x = 1,376,787.29
  5. Step 5: Solve for x
    x = 1,376,787.29/1,525.23
  6. Step 6: Final answer
    x = 902.68

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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.