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Finding the Fourth Proportional to 785.51, 1,178.46 and 298.29

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Solution

The fourth proportional to 785.51, 1,178.46 and 298.29 is: 447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.51 : 1,178.46 = 298.29 : x
  2. Step 2: Convert to fraction form
    785.51/1,178.46 = 298.29/x
  3. Step 3: Cross multiply
    785.51x = 1,178.46 × 298.29
  4. Step 4: Simplify right side
    785.51x = 351,521.34
  5. Step 5: Solve for x
    x = 351,521.34/785.51
  6. Step 6: Final answer
    x = 447.51

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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.