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Finding the Fourth Proportional to 825.84, 1,238.76 and 462.93

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Solution

The fourth proportional to 825.84, 1,238.76 and 462.93 is: 694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.84 : 1,238.76 = 462.93 : x
  2. Step 2: Convert to fraction form
    825.84/1,238.76 = 462.93/x
  3. Step 3: Cross multiply
    825.84x = 1,238.76 × 462.93
  4. Step 4: Simplify right side
    825.84x = 573,459.17
  5. Step 5: Solve for x
    x = 573,459.17/825.84
  6. Step 6: Final answer
    x = 694.40

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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.