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Finding the Fourth Proportional to 723.25, 1,084.20 and 357.67

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Solution

The fourth proportional to 723.25, 1,084.20 and 357.67 is: 536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.25 : 1,084.20 = 357.67 : x
  2. Step 2: Convert to fraction form
    723.25/1,084.20 = 357.67/x
  3. Step 3: Cross multiply
    723.25x = 1,084.20 × 357.67
  4. Step 4: Simplify right side
    723.25x = 387,785.81
  5. Step 5: Solve for x
    x = 387,785.81/723.25
  6. Step 6: Final answer
    x = 536.17

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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.