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Finding the Fourth Proportional to 1,192.08, 1,645.14 and 896.82

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Solution

The fourth proportional to 1,192.08, 1,645.14 and 896.82 is: 1,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.08 : 1,645.14 = 896.82 : x
  2. Step 2: Convert to fraction form
    1,192.08/1,645.14 = 896.82/x
  3. Step 3: Cross multiply
    1,192.08x = 1,645.14 × 896.82
  4. Step 4: Simplify right side
    1,192.08x = 1,475,394.45
  5. Step 5: Solve for x
    x = 1,475,394.45/1,192.08
  6. Step 6: Final answer
    x = 1,237.66

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1.5x scale

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.