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Finding the Fourth Proportional to 1,258.29, 1,888.18 and 478.39

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Solution

The fourth proportional to 1,258.29, 1,888.18 and 478.39 is: 717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.29 : 1,888.18 = 478.39 : x
  2. Step 2: Convert to fraction form
    1,258.29/1,888.18 = 478.39/x
  3. Step 3: Cross multiply
    1,258.29x = 1,888.18 × 478.39
  4. Step 4: Simplify right side
    1,258.29x = 903,286.43
  5. Step 5: Solve for x
    x = 903,286.43/1,258.29
  6. Step 6: Final answer
    x = 717.87

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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.