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Finding the Fourth Proportional to 733.02, 1,097.15 and 472.37

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Solution

The fourth proportional to 733.02, 1,097.15 and 472.37 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,097.15 = 472.37 : x
  2. Step 2: Convert to fraction form
    733.02/1,097.15 = 472.37/x
  3. Step 3: Cross multiply
    733.02x = 1,097.15 × 472.37
  4. Step 4: Simplify right side
    733.02x = 518,257.53
  5. Step 5: Solve for x
    x = 518,257.53/733.02
  6. Step 6: Final answer
    x = 707.01

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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.