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Finding the Fourth Proportional to 653.59, 898.11 and 522.37

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Solution

The fourth proportional to 653.59, 898.11 and 522.37 is: 717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.59 : 898.11 = 522.37 : x
  2. Step 2: Convert to fraction form
    653.59/898.11 = 522.37/x
  3. Step 3: Cross multiply
    653.59x = 898.11 × 522.37
  4. Step 4: Simplify right side
    653.59x = 469,141.23
  5. Step 5: Solve for x
    x = 469,141.23/653.59
  6. Step 6: Final answer
    x = 717.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.