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Finding the Fourth Proportional to 858.43, 1,184.69 and 480.35

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Solution

The fourth proportional to 858.43, 1,184.69 and 480.35 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.43 : 1,184.69 = 480.35 : x
  2. Step 2: Convert to fraction form
    858.43/1,184.69 = 480.35/x
  3. Step 3: Cross multiply
    858.43x = 1,184.69 × 480.35
  4. Step 4: Simplify right side
    858.43x = 569,059.92
  5. Step 5: Solve for x
    x = 569,059.92/858.43
  6. Step 6: Final answer
    x = 662.91

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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.