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Finding the Fourth Proportional to 1,596.14, 2,202.65 and 897.51

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Solution

The fourth proportional to 1,596.14, 2,202.65 and 897.51 is: 1,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.14 : 2,202.65 = 897.51 : x
  2. Step 2: Convert to fraction form
    1,596.14/2,202.65 = 897.51/x
  3. Step 3: Cross multiply
    1,596.14x = 2,202.65 × 897.51
  4. Step 4: Simplify right side
    1,596.14x = 1,976,895.91
  5. Step 5: Solve for x
    x = 1,976,895.91/1,596.14
  6. Step 6: Final answer
    x = 1,238.55

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Half scale
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Double scale
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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.