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Finding the Fourth Proportional to 1,486.06, 2,050.59 and 896.65

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Solution

The fourth proportional to 1,486.06, 2,050.59 and 896.65 is: 1,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.06 : 2,050.59 = 896.65 : x
  2. Step 2: Convert to fraction form
    1,486.06/2,050.59 = 896.65/x
  3. Step 3: Cross multiply
    1,486.06x = 2,050.59 × 896.65
  4. Step 4: Simplify right side
    1,486.06x = 1,838,661.52
  5. Step 5: Solve for x
    x = 1,838,661.52/1,486.06
  6. Step 6: Final answer
    x = 1,237.27

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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.