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Finding the Fourth Proportional to 911.58, 1,258.14 and 518.53

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Solution

The fourth proportional to 911.58, 1,258.14 and 518.53 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.58 : 1,258.14 = 518.53 : x
  2. Step 2: Convert to fraction form
    911.58/1,258.14 = 518.53/x
  3. Step 3: Cross multiply
    911.58x = 1,258.14 × 518.53
  4. Step 4: Simplify right side
    911.58x = 652,377.04
  5. Step 5: Solve for x
    x = 652,377.04/911.58
  6. Step 6: Final answer
    x = 715.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.