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Finding the Fourth Proportional to 723.60, 1,085.60 and 333.29

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Solution

The fourth proportional to 723.60, 1,085.60 and 333.29 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.60 : 1,085.60 = 333.29 : x
  2. Step 2: Convert to fraction form
    723.60/1,085.60 = 333.29/x
  3. Step 3: Cross multiply
    723.60x = 1,085.60 × 333.29
  4. Step 4: Simplify right side
    723.60x = 361,812.53
  5. Step 5: Solve for x
    x = 361,812.53/723.60
  6. Step 6: Final answer
    x = 500.01

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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.