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Finding the Fourth Proportional to 653.14, 901.05 and 522.34

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Solution

The fourth proportional to 653.14, 901.05 and 522.34 is: 720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 901.05 = 522.34 : x
  2. Step 2: Convert to fraction form
    653.14/901.05 = 522.34/x
  3. Step 3: Cross multiply
    653.14x = 901.05 × 522.34
  4. Step 4: Simplify right side
    653.14x = 470,654.46
  5. Step 5: Solve for x
    x = 470,654.46/653.14
  6. Step 6: Final answer
    x = 720.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.