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Finding the Fourth Proportional to 1,353, 2,029.50 and 922.89

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Solution

The fourth proportional to 1,353, 2,029.50 and 922.89 is: 1,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353 : 2,029.50 = 922.89 : x
  2. Step 2: Convert to fraction form
    1,353/2,029.50 = 922.89/x
  3. Step 3: Cross multiply
    1,353x = 2,029.50 × 922.89
  4. Step 4: Simplify right side
    1,353x = 1,873,005.26
  5. Step 5: Solve for x
    x = 1,873,005.26/1,353
  6. Step 6: Final answer
    x = 1,384.34

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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.