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Finding the Fourth Proportional to 919.50, 1,269.93 and 624.25

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Solution

The fourth proportional to 919.50, 1,269.93 and 624.25 is: 862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.50 : 1,269.93 = 624.25 : x
  2. Step 2: Convert to fraction form
    919.50/1,269.93 = 624.25/x
  3. Step 3: Cross multiply
    919.50x = 1,269.93 × 624.25
  4. Step 4: Simplify right side
    919.50x = 792,753.80
  5. Step 5: Solve for x
    x = 792,753.80/919.50
  6. Step 6: Final answer
    x = 862.16

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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.