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Finding the Fourth Proportional to 1,204.78, 1,802.40 and 958.75

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Solution

The fourth proportional to 1,204.78, 1,802.40 and 958.75 is: 1,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.78 : 1,802.40 = 958.75 : x
  2. Step 2: Convert to fraction form
    1,204.78/1,802.40 = 958.75/x
  3. Step 3: Cross multiply
    1,204.78x = 1,802.40 × 958.75
  4. Step 4: Simplify right side
    1,204.78x = 1,728,051
  5. Step 5: Solve for x
    x = 1,728,051/1,204.78
  6. Step 6: Final answer
    x = 1,434.33

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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.