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Finding the Fourth Proportional to 890.75, 1,336.12 and 525.13

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Solution

The fourth proportional to 890.75, 1,336.12 and 525.13 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.75 : 1,336.12 = 525.13 : x
  2. Step 2: Convert to fraction form
    890.75/1,336.12 = 525.13/x
  3. Step 3: Cross multiply
    890.75x = 1,336.12 × 525.13
  4. Step 4: Simplify right side
    890.75x = 701,632.04
  5. Step 5: Solve for x
    x = 701,632.04/890.75
  6. Step 6: Final answer
    x = 787.68

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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.