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Finding the Fourth Proportional to 1,063.82, 1,464.93 and 897.36

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Solution

The fourth proportional to 1,063.82, 1,464.93 and 897.36 is: 1,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.82 : 1,464.93 = 897.36 : x
  2. Step 2: Convert to fraction form
    1,063.82/1,464.93 = 897.36/x
  3. Step 3: Cross multiply
    1,063.82x = 1,464.93 × 897.36
  4. Step 4: Simplify right side
    1,063.82x = 1,314,569.58
  5. Step 5: Solve for x
    x = 1,314,569.58/1,063.82
  6. Step 6: Final answer
    x = 1,235.71

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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.