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Finding the Fourth Proportional to 698.93, 1,048.19 and 308.84

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Solution

The fourth proportional to 698.93, 1,048.19 and 308.84 is: 463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 1,048.19 = 308.84 : x
  2. Step 2: Convert to fraction form
    698.93/1,048.19 = 308.84/x
  3. Step 3: Cross multiply
    698.93x = 1,048.19 × 308.84
  4. Step 4: Simplify right side
    698.93x = 323,717.37
  5. Step 5: Solve for x
    x = 323,717.37/698.93
  6. Step 6: Final answer
    x = 463.16

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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.