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Finding the Fourth Proportional to 1,202.51, 1,658.98 and 922.25

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Solution

The fourth proportional to 1,202.51, 1,658.98 and 922.25 is: 1,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.51 : 1,658.98 = 922.25 : x
  2. Step 2: Convert to fraction form
    1,202.51/1,658.98 = 922.25/x
  3. Step 3: Cross multiply
    1,202.51x = 1,658.98 × 922.25
  4. Step 4: Simplify right side
    1,202.51x = 1,529,999.61
  5. Step 5: Solve for x
    x = 1,529,999.61/1,202.51
  6. Step 6: Final answer
    x = 1,272.34

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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.