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Finding the Fourth Proportional to 828.93, 1,242.30 and 463.50

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Solution

The fourth proportional to 828.93, 1,242.30 and 463.50 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.93 : 1,242.30 = 463.50 : x
  2. Step 2: Convert to fraction form
    828.93/1,242.30 = 463.50/x
  3. Step 3: Cross multiply
    828.93x = 1,242.30 × 463.50
  4. Step 4: Simplify right side
    828.93x = 575,806.05
  5. Step 5: Solve for x
    x = 575,806.05/828.93
  6. Step 6: Final answer
    x = 694.64

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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.