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Finding the Fourth Proportional to 1,258.30, 1,887.42 and 488.80

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Solution

The fourth proportional to 1,258.30, 1,887.42 and 488.80 is: 733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.30 : 1,887.42 = 488.80 : x
  2. Step 2: Convert to fraction form
    1,258.30/1,887.42 = 488.80/x
  3. Step 3: Cross multiply
    1,258.30x = 1,887.42 × 488.80
  4. Step 4: Simplify right side
    1,258.30x = 922,570.90
  5. Step 5: Solve for x
    x = 922,570.90/1,258.30
  6. Step 6: Final answer
    x = 733.19

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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.