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Finding the Fourth Proportional to 1,181.75, 1,772.63 and 532.67

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Solution

The fourth proportional to 1,181.75, 1,772.63 and 532.67 is: 799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.75 : 1,772.63 = 532.67 : x
  2. Step 2: Convert to fraction form
    1,181.75/1,772.63 = 532.67/x
  3. Step 3: Cross multiply
    1,181.75x = 1,772.63 × 532.67
  4. Step 4: Simplify right side
    1,181.75x = 944,224.16
  5. Step 5: Solve for x
    x = 944,224.16/1,181.75
  6. Step 6: Final answer
    x = 799.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.