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Finding the Fourth Proportional to 657.20, 922 and 657.20

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Solution

The fourth proportional to 657.20, 922 and 657.20 is: 922

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 922 = 657.20 : x
  2. Step 2: Convert to fraction form
    657.20/922 = 657.20/x
  3. Step 3: Cross multiply
    657.20x = 922 × 657.20
  4. Step 4: Simplify right side
    657.20x = 605,938.40
  5. Step 5: Solve for x
    x = 605,938.40/657.20
  6. Step 6: Final answer
    x = 922

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.