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Finding the Fourth Proportional to 812.02, 1,120.48 and 462.72

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Solution

The fourth proportional to 812.02, 1,120.48 and 462.72 is: 638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.02 : 1,120.48 = 462.72 : x
  2. Step 2: Convert to fraction form
    812.02/1,120.48 = 462.72/x
  3. Step 3: Cross multiply
    812.02x = 1,120.48 × 462.72
  4. Step 4: Simplify right side
    812.02x = 518,468.51
  5. Step 5: Solve for x
    x = 518,468.51/812.02
  6. Step 6: Final answer
    x = 638.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.