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Finding the Fourth Proportional to 1,204.07, 1,659.15 and 924.29

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Solution

The fourth proportional to 1,204.07, 1,659.15 and 924.29 is: 1,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.07 : 1,659.15 = 924.29 : x
  2. Step 2: Convert to fraction form
    1,204.07/1,659.15 = 924.29/x
  3. Step 3: Cross multiply
    1,204.07x = 1,659.15 × 924.29
  4. Step 4: Simplify right side
    1,204.07x = 1,533,535.75
  5. Step 5: Solve for x
    x = 1,533,535.75/1,204.07
  6. Step 6: Final answer
    x = 1,273.63

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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.