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Finding the Fourth Proportional to 1,073.16, 1,608.57 and 423.18

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Solution

The fourth proportional to 1,073.16, 1,608.57 and 423.18 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.16 : 1,608.57 = 423.18 : x
  2. Step 2: Convert to fraction form
    1,073.16/1,608.57 = 423.18/x
  3. Step 3: Cross multiply
    1,073.16x = 1,608.57 × 423.18
  4. Step 4: Simplify right side
    1,073.16x = 680,714.65
  5. Step 5: Solve for x
    x = 680,714.65/1,073.16
  6. Step 6: Final answer
    x = 634.31

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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.