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Finding the Fourth Proportional to 1,204.96, 1,662.08 and 924.73

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Solution

The fourth proportional to 1,204.96, 1,662.08 and 924.73 is: 1,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.96 : 1,662.08 = 924.73 : x
  2. Step 2: Convert to fraction form
    1,204.96/1,662.08 = 924.73/x
  3. Step 3: Cross multiply
    1,204.96x = 1,662.08 × 924.73
  4. Step 4: Simplify right side
    1,204.96x = 1,536,970.61
  5. Step 5: Solve for x
    x = 1,536,970.61/1,204.96
  6. Step 6: Final answer
    x = 1,275.54

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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.