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Finding the Fourth Proportional to 832.79, 1,246.54 and 466.46

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Solution

The fourth proportional to 832.79, 1,246.54 and 466.46 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.79 : 1,246.54 = 466.46 : x
  2. Step 2: Convert to fraction form
    832.79/1,246.54 = 466.46/x
  3. Step 3: Cross multiply
    832.79x = 1,246.54 × 466.46
  4. Step 4: Simplify right side
    832.79x = 581,461.05
  5. Step 5: Solve for x
    x = 581,461.05/832.79
  6. Step 6: Final answer
    x = 698.21

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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.