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Finding the Fourth Proportional to 1,258.96, 1,884.93 and 641.33

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Solution

The fourth proportional to 1,258.96, 1,884.93 and 641.33 is: 960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.96 : 1,884.93 = 641.33 : x
  2. Step 2: Convert to fraction form
    1,258.96/1,884.93 = 641.33/x
  3. Step 3: Cross multiply
    1,258.96x = 1,884.93 × 641.33
  4. Step 4: Simplify right side
    1,258.96x = 1,208,862.16
  5. Step 5: Solve for x
    x = 1,208,862.16/1,258.96
  6. Step 6: Final answer
    x = 960.21

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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.