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Finding the Fourth Proportional to 828.42, 1,242.57 and 465.48

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Solution

The fourth proportional to 828.42, 1,242.57 and 465.48 is: 698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.42 : 1,242.57 = 465.48 : x
  2. Step 2: Convert to fraction form
    828.42/1,242.57 = 465.48/x
  3. Step 3: Cross multiply
    828.42x = 1,242.57 × 465.48
  4. Step 4: Simplify right side
    828.42x = 578,391.48
  5. Step 5: Solve for x
    x = 578,391.48/828.42
  6. Step 6: Final answer
    x = 698.19

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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.