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Finding the Fourth Proportional to 794.84, 1,096.51 and 463.07

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Solution

The fourth proportional to 794.84, 1,096.51 and 463.07 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.84 : 1,096.51 = 463.07 : x
  2. Step 2: Convert to fraction form
    794.84/1,096.51 = 463.07/x
  3. Step 3: Cross multiply
    794.84x = 1,096.51 × 463.07
  4. Step 4: Simplify right side
    794.84x = 507,760.89
  5. Step 5: Solve for x
    x = 507,760.89/794.84
  6. Step 6: Final answer
    x = 638.82

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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.