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Finding the Fourth Proportional to 653.22, 979.71 and 472.14

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Solution

The fourth proportional to 653.22, 979.71 and 472.14 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 979.71 = 472.14 : x
  2. Step 2: Convert to fraction form
    653.22/979.71 = 472.14/x
  3. Step 3: Cross multiply
    653.22x = 979.71 × 472.14
  4. Step 4: Simplify right side
    653.22x = 462,560.28
  5. Step 5: Solve for x
    x = 462,560.28/653.22
  6. Step 6: Final answer
    x = 708.12

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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.