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Finding the Fourth Proportional to 912.40, 1,258.97 and 514.08

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Solution

The fourth proportional to 912.40, 1,258.97 and 514.08 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.40 : 1,258.97 = 514.08 : x
  2. Step 2: Convert to fraction form
    912.40/1,258.97 = 514.08/x
  3. Step 3: Cross multiply
    912.40x = 1,258.97 × 514.08
  4. Step 4: Simplify right side
    912.40x = 647,211.30
  5. Step 5: Solve for x
    x = 647,211.30/912.40
  6. Step 6: Final answer
    x = 709.35

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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.