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Finding the Fourth Proportional to 912.01, 1,258.45 and 513.65

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Solution

The fourth proportional to 912.01, 1,258.45 and 513.65 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.01 : 1,258.45 = 513.65 : x
  2. Step 2: Convert to fraction form
    912.01/1,258.45 = 513.65/x
  3. Step 3: Cross multiply
    912.01x = 1,258.45 × 513.65
  4. Step 4: Simplify right side
    912.01x = 646,404.70
  5. Step 5: Solve for x
    x = 646,404.70/912.01
  6. Step 6: Final answer
    x = 708.77

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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.