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Finding the Fourth Proportional to 1,258.82, 1,888.37 and 479.41

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Solution

The fourth proportional to 1,258.82, 1,888.37 and 479.41 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.82 : 1,888.37 = 479.41 : x
  2. Step 2: Convert to fraction form
    1,258.82/1,888.37 = 479.41/x
  3. Step 3: Cross multiply
    1,258.82x = 1,888.37 × 479.41
  4. Step 4: Simplify right side
    1,258.82x = 905,303.46
  5. Step 5: Solve for x
    x = 905,303.46/1,258.82
  6. Step 6: Final answer
    x = 719.17

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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.