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Finding the Fourth Proportional to 858.67, 1,184.19 and 624.16

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Solution

The fourth proportional to 858.67, 1,184.19 and 624.16 is: 860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.67 : 1,184.19 = 624.16 : x
  2. Step 2: Convert to fraction form
    858.67/1,184.19 = 624.16/x
  3. Step 3: Cross multiply
    858.67x = 1,184.19 × 624.16
  4. Step 4: Simplify right side
    858.67x = 739,124.03
  5. Step 5: Solve for x
    x = 739,124.03/858.67
  6. Step 6: Final answer
    x = 860.78

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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.