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Finding the Fourth Proportional to 838.89, 1,258.73 and 345.65

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Solution

The fourth proportional to 838.89, 1,258.73 and 345.65 is: 518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.89 : 1,258.73 = 345.65 : x
  2. Step 2: Convert to fraction form
    838.89/1,258.73 = 345.65/x
  3. Step 3: Cross multiply
    838.89x = 1,258.73 × 345.65
  4. Step 4: Simplify right side
    838.89x = 435,085.86
  5. Step 5: Solve for x
    x = 435,085.86/838.89
  6. Step 6: Final answer
    x = 518.65

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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.