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Finding the Fourth Proportional to 1,624.50, 2,436.84 and 470.34

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Solution

The fourth proportional to 1,624.50, 2,436.84 and 470.34 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.50 : 2,436.84 = 470.34 : x
  2. Step 2: Convert to fraction form
    1,624.50/2,436.84 = 470.34/x
  3. Step 3: Cross multiply
    1,624.50x = 2,436.84 × 470.34
  4. Step 4: Simplify right side
    1,624.50x = 1,146,143.33
  5. Step 5: Solve for x
    x = 1,146,143.33/1,624.50
  6. Step 6: Final answer
    x = 705.54

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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.