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Finding the Fourth Proportional to 858.42, 1,287.33 and 463.02

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Solution

The fourth proportional to 858.42, 1,287.33 and 463.02 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.42 : 1,287.33 = 463.02 : x
  2. Step 2: Convert to fraction form
    858.42/1,287.33 = 463.02/x
  3. Step 3: Cross multiply
    858.42x = 1,287.33 × 463.02
  4. Step 4: Simplify right side
    858.42x = 596,059.54
  5. Step 5: Solve for x
    x = 596,059.54/858.42
  6. Step 6: Final answer
    x = 694.37

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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.