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Finding the Fourth Proportional to 722.50, 1,082.82 and 332.47

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Solution

The fourth proportional to 722.50, 1,082.82 and 332.47 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 1,082.82 = 332.47 : x
  2. Step 2: Convert to fraction form
    722.50/1,082.82 = 332.47/x
  3. Step 3: Cross multiply
    722.50x = 1,082.82 × 332.47
  4. Step 4: Simplify right side
    722.50x = 360,005.17
  5. Step 5: Solve for x
    x = 360,005.17/722.50
  6. Step 6: Final answer
    x = 498.28

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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.