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Finding the Fourth Proportional to 1,495.43, 2,063.88 and 897.65

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Solution

The fourth proportional to 1,495.43, 2,063.88 and 897.65 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.43 : 2,063.88 = 897.65 : x
  2. Step 2: Convert to fraction form
    1,495.43/2,063.88 = 897.65/x
  3. Step 3: Cross multiply
    1,495.43x = 2,063.88 × 897.65
  4. Step 4: Simplify right side
    1,495.43x = 1,852,639.30
  5. Step 5: Solve for x
    x = 1,852,639.30/1,495.43
  6. Step 6: Final answer
    x = 1,238.87

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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.