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Finding the Fourth Proportional to 1,412, 2,117.46 and 411.32

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Solution

The fourth proportional to 1,412, 2,117.46 and 411.32 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412 : 2,117.46 = 411.32 : x
  2. Step 2: Convert to fraction form
    1,412/2,117.46 = 411.32/x
  3. Step 3: Cross multiply
    1,412x = 2,117.46 × 411.32
  4. Step 4: Simplify right side
    1,412x = 870,953.65
  5. Step 5: Solve for x
    x = 870,953.65/1,412
  6. Step 6: Final answer
    x = 616.82

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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.