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Finding the Fourth Proportional to 912.14, 1,258.53 and 519.38

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Solution

The fourth proportional to 912.14, 1,258.53 and 519.38 is: 716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.14 : 1,258.53 = 519.38 : x
  2. Step 2: Convert to fraction form
    912.14/1,258.53 = 519.38/x
  3. Step 3: Cross multiply
    912.14x = 1,258.53 × 519.38
  4. Step 4: Simplify right side
    912.14x = 653,655.31
  5. Step 5: Solve for x
    x = 653,655.31/912.14
  6. Step 6: Final answer
    x = 716.62

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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.