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Finding the Fourth Proportional to 796.33, 1,096.54 and 630.01

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Solution

The fourth proportional to 796.33, 1,096.54 and 630.01 is: 867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.33 : 1,096.54 = 630.01 : x
  2. Step 2: Convert to fraction form
    796.33/1,096.54 = 630.01/x
  3. Step 3: Cross multiply
    796.33x = 1,096.54 × 630.01
  4. Step 4: Simplify right side
    796.33x = 690,831.17
  5. Step 5: Solve for x
    x = 690,831.17/796.33
  6. Step 6: Final answer
    x = 867.52

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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.