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Finding the Fourth Proportional to 732.99, 1,099.74 and 472.85

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Solution

The fourth proportional to 732.99, 1,099.74 and 472.85 is: 709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.99 : 1,099.74 = 472.85 : x
  2. Step 2: Convert to fraction form
    732.99/1,099.74 = 472.85/x
  3. Step 3: Cross multiply
    732.99x = 1,099.74 × 472.85
  4. Step 4: Simplify right side
    732.99x = 520,013.99
  5. Step 5: Solve for x
    x = 520,013.99/732.99
  6. Step 6: Final answer
    x = 709.45

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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.